[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.00,0:00:00.69,Default,,0000,0000,0000,,.
Dialogue: 0,0:00:00.69,0:00:01.81,Default,,0000,0000,0000,,Velkommen tilbage.
Dialogue: 0,0:00:01.81,0:00:04.82,Default,,0000,0000,0000,,Vi fortsætter, hvor vi slap.
Dialogue: 0,0:00:04.82,0:00:07.72,Default,,0000,0000,0000,,Vi har den her vinkel.
Dialogue: 0,0:00:07.72,0:00:08.93,Default,,0000,0000,0000,,Kan vi regne nogle af de andre vinkler ud?
Dialogue: 0,0:00:08.93,0:00:14.75,Default,,0000,0000,0000,,Det her er en transversal,
Dialogue: 0,0:00:14.75,0:00:17.78,Default,,0000,0000,0000,,og det her er parallelle linjer.
Dialogue: 0,0:00:17.78,0:00:18.94,Default,,0000,0000,0000,,Vi kender til indvendige vekselvinkler.
Dialogue: 0,0:00:18.94,0:00:21.32,Default,,0000,0000,0000,,Det her er en indvendig vinkel, og her er dens indvendige vekselvinkel.
Dialogue: 0,0:00:21.32,0:00:23.34,Default,,0000,0000,0000,,De er lig med hinanden.
Dialogue: 0,0:00:23.34,0:00:25.52,Default,,0000,0000,0000,,Vi tegner det ikke endnu.
Dialogue: 0,0:00:25.52,0:00:27.68,Default,,0000,0000,0000,,Hvis vi ikke kendte indvendige vekselvinkler,
Dialogue: 0,0:00:27.68,0:00:29.46,Default,,0000,0000,0000,,kunne vi bruge vores viden om ensliggende vinkler.
Dialogue: 0,0:00:29.46,0:00:31.41,Default,,0000,0000,0000,,Den her vinkel er også
Dialogue: 0,0:00:31.41,0:00:32.88,Default,,0000,0000,0000,,lig med den her vinkel.
Dialogue: 0,0:00:32.88,0:00:35.46,Default,,0000,0000,0000,,Vi kan nu bruge modstående vinkler
Dialogue: 0,0:00:35.46,0:00:37.66,Default,,0000,0000,0000,,til at komme tilbage til indvendige vekselvinkler.
Dialogue: 0,0:00:37.66,0:00:38.49,Default,,0000,0000,0000,,Det skal vi se på.
Dialogue: 0,0:00:38.49,0:00:40.90,Default,,0000,0000,0000,,Det gode ved matematik er,
Dialogue: 0,0:00:40.90,0:00:42.52,Default,,0000,0000,0000,,at man ikke behøver huske særligt mange ting.
Dialogue: 0,0:00:42.52,0:00:45.53,Default,,0000,0000,0000,,Man skal kunne huske nogle få regler,
Dialogue: 0,0:00:45.53,0:00:46.52,Default,,0000,0000,0000,,og så kan man bruge dem til alt muligt andet.
Dialogue: 0,0:00:46.52,0:00:47.22,Default,,0000,0000,0000,,Det er smart.
Dialogue: 0,0:00:47.22,0:00:51.02,Default,,0000,0000,0000,,Vi fandt ud af,
Dialogue: 0,0:00:51.02,0:00:52.44,Default,,0000,0000,0000,,at de her 2 vinkler er ens.
Dialogue: 0,0:00:52.44,0:00:52.65,Default,,0000,0000,0000,,.
Dialogue: 0,0:00:52.65,0:00:55.55,Default,,0000,0000,0000,,De er nemlig indvendige vekselvinkler.
Dialogue: 0,0:00:55.55,0:01:00.32,Default,,0000,0000,0000,,Det her er den ensliggende side.
Dialogue: 0,0:01:00.32,0:01:03.03,Default,,0000,0000,0000,,Hvad med den her vinkel?
Dialogue: 0,0:01:03.03,0:01:05.27,Default,,0000,0000,0000,,Vi tegner en vinkel med tre buer her.
Dialogue: 0,0:01:05.27,0:01:08.64,Default,,0000,0000,0000,,1, 2, 3.
Dialogue: 0,0:01:08.64,0:01:11.40,Default,,0000,0000,0000,,Hvad er den her lig med i den her trekant?
Dialogue: 0,0:01:11.40,0:01:13.23,Default,,0000,0000,0000,,Samme argument.
Dialogue: 0,0:01:13.23,0:01:15.99,Default,,0000,0000,0000,,.
Dialogue: 0,0:01:15.99,0:01:18.42,Default,,0000,0000,0000,,Vi kan kun konkludere de her ting,
Dialogue: 0,0:01:18.42,0:01:21.81,Default,,0000,0000,0000,,fordi vi ved,
Dialogue: 0,0:01:21.81,0:01:25.03,Default,,0000,0000,0000,,at de her 2 linjer er parallelle.
Dialogue: 0,0:01:25.03,0:01:25.31,Default,,0000,0000,0000,,.
Dialogue: 0,0:01:25.31,0:01:27.33,Default,,0000,0000,0000,,Ellers ville vi ikke kunne påstå det.
Dialogue: 0,0:01:27.33,0:01:29.01,Default,,0000,0000,0000,,Eftersom de er indvendige vekselvinkler,
Dialogue: 0,0:01:29.01,0:01:34.57,Default,,0000,0000,0000,,er de lige store.
Dialogue: 0,0:01:34.57,0:01:35.56,Default,,0000,0000,0000,,Så langt, så godt.
Dialogue: 0,0:01:35.56,0:01:39.08,Default,,0000,0000,0000,,Vi har nu vist, at det er ligedannede trekanter.
Dialogue: 0,0:01:39.08,0:01:40.63,Default,,0000,0000,0000,,Vi behøver ikke kigge på alle 3 vinkler.
Dialogue: 0,0:01:40.63,0:01:42.96,Default,,0000,0000,0000,,Vi kan nøjes med 2,
Dialogue: 0,0:01:42.96,0:01:44.38,Default,,0000,0000,0000,,og så kan vi slutte, at de er ligedannede.
Dialogue: 0,0:01:44.38,0:01:46.18,Default,,0000,0000,0000,,Hvis 2 af vinklerne er ens,
Dialogue: 0,0:01:46.18,0:01:47.37,Default,,0000,0000,0000,,er den tredje det også.
Dialogue: 0,0:01:47.37,0:01:49.74,Default,,0000,0000,0000,,Lad os se,
Dialogue: 0,0:01:49.74,0:01:51.98,Default,,0000,0000,0000,,om vi kan bruge den viden til at finde forholdene.
Dialogue: 0,0:01:51.98,0:01:53.56,Default,,0000,0000,0000,,.
Dialogue: 0,0:01:53.56,0:01:58.04,Default,,0000,0000,0000,,Lad os farve siderne samme farve som vinklen.
Dialogue: 0,0:01:58.04,0:01:58.98,Default,,0000,0000,0000,,.
Dialogue: 0,0:01:58.98,0:02:02.97,Default,,0000,0000,0000,,Den her side er orange.
Dialogue: 0,0:02:02.97,0:02:04.80,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:04.80,0:02:05.81,Default,,0000,0000,0000,,Den her side er blå.
Dialogue: 0,0:02:05.81,0:02:06.39,Default,,0000,0000,0000,,Den her side er rød.
Dialogue: 0,0:02:06.39,0:02:06.65,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:06.65,0:02:08.81,Default,,0000,0000,0000,,Nu har vi farvet det hele.
Dialogue: 0,0:02:08.81,0:02:13.32,Default,,0000,0000,0000,,Det bliver brugbart,
Dialogue: 0,0:02:13.32,0:02:16.22,Default,,0000,0000,0000,,for trekanterne er faktisk vendt om.
Dialogue: 0,0:02:16.22,0:02:17.29,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:17.29,0:02:21.47,Default,,0000,0000,0000,,Vi skal finde den orange side her.
Dialogue: 0,0:02:21.47,0:02:24.98,Default,,0000,0000,0000,,Lad os kalde den x.
Dialogue: 0,0:02:24.98,0:02:28.85,Default,,0000,0000,0000,,x er lig med spørgsmålstegn.
Dialogue: 0,0:02:28.85,0:02:31.82,Default,,0000,0000,0000,,Den orange side her svarer til den her side.
Dialogue: 0,0:02:31.82,0:02:32.00,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:32.00,0:02:34.73,Default,,0000,0000,0000,,Den er nemlig modsat den her vinkel,
Dialogue: 0,0:02:34.73,0:02:36.09,Default,,0000,0000,0000,,som er lig med den her vinkel.
Dialogue: 0,0:02:36.09,0:02:38.76,Default,,0000,0000,0000,,De er altså modstående til den samme vinkel.
Dialogue: 0,0:02:38.76,0:02:40.94,Default,,0000,0000,0000,,Derfor ved vi, at de svarer til hinanden.
Dialogue: 0,0:02:40.94,0:02:47.96,Default,,0000,0000,0000,,Vi kan også sige, at x over 6 er lig med.
Dialogue: 0,0:02:47.96,0:02:50.26,Default,,0000,0000,0000,,Hvilke andre sider kender vi?
Dialogue: 0,0:02:50.26,0:02:53.41,Default,,0000,0000,0000,,Vi kender den her side.
Dialogue: 0,0:02:53.41,0:02:55.24,Default,,0000,0000,0000,,.
Dialogue: 0,0:02:55.24,0:02:57.31,Default,,0000,0000,0000,,Den er 4.
Dialogue: 0,0:02:57.31,0:02:59.57,Default,,0000,0000,0000,,4 er i samme trekant som det her x.
Dialogue: 0,0:02:59.57,0:03:03.07,Default,,0000,0000,0000,,Da x er i tælleren på venstre side,
Dialogue: 0,0:03:03.07,0:03:04.90,Default,,0000,0000,0000,,sætter vi 4 i tælleren
Dialogue: 0,0:03:04.90,0:03:06.59,Default,,0000,0000,0000,,på højre side.
Dialogue: 0,0:03:06.59,0:03:09.25,Default,,0000,0000,0000,,4 over hvad?
Dialogue: 0,0:03:09.25,0:03:10.88,Default,,0000,0000,0000,,Hvilken side svarer til 4?
Dialogue: 0,0:03:10.88,0:03:14.29,Default,,0000,0000,0000,,Hvad er modsat den her vinkel?
Dialogue: 0,0:03:14.29,0:03:15.00,Default,,0000,0000,0000,,Det er den her vinkel.
Dialogue: 0,0:03:15.00,0:03:17.72,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:17.72,0:03:19.05,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:19.05,0:03:24.69,Default,,0000,0000,0000,,Den ensliggende side er 5.
Dialogue: 0,0:03:24.69,0:03:26.31,Default,,0000,0000,0000,,Nu kan vi løse ligningen.
Dialogue: 0,0:03:26.31,0:03:29.01,Default,,0000,0000,0000,,Vi ganger begge sider med 6.
Dialogue: 0,0:03:29.01,0:03:31.31,Default,,0000,0000,0000,,24 over 5.
Dialogue: 0,0:03:31.31,0:03:35.74,Default,,0000,0000,0000,,x er lig med 24 over 5.
Dialogue: 0,0:03:35.74,0:03:38.76,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:38.76,0:03:40.04,Default,,0000,0000,0000,,Det er ikke så dårligt.
Dialogue: 0,0:03:40.04,0:03:41.65,Default,,0000,0000,0000,,Vi kan fortsætte.
Dialogue: 0,0:03:41.65,0:03:44.17,Default,,0000,0000,0000,,Vi kan nu finde
Dialogue: 0,0:03:44.17,0:03:45.77,Default,,0000,0000,0000,,den lilla side her.
Dialogue: 0,0:03:45.77,0:03:48.34,Default,,0000,0000,0000,,Lad os kalde den y.
Dialogue: 0,0:03:48.34,0:03:50.00,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:50.00,0:03:53.25,Default,,0000,0000,0000,,y svarer til den her vinkel.
Dialogue: 0,0:03:53.25,0:03:55.55,Default,,0000,0000,0000,,y svarer altså til den her side på 8.
Dialogue: 0,0:03:55.55,0:03:57.06,Default,,0000,0000,0000,,.
Dialogue: 0,0:03:57.06,0:04:03.12,Default,,0000,0000,0000,,Vi kan regne det ud på flere måder.
Dialogue: 0,0:04:03.12,0:04:03.68,Default,,0000,0000,0000,,.
Dialogue: 0,0:04:03.68,0:04:07.09,Default,,0000,0000,0000,,Lad os sige 4 over 5.
Dialogue: 0,0:04:07.09,0:04:09.87,Default,,0000,0000,0000,,Alt andet kan nemt blive
Dialogue: 0,0:04:09.87,0:04:10.52,Default,,0000,0000,0000,,forvirrende.
Dialogue: 0,0:04:10.52,0:04:11.98,Default,,0000,0000,0000,,.
Dialogue: 0,0:04:11.98,0:04:15.38,Default,,0000,0000,0000,,4 over 5.
Dialogue: 0,0:04:15.38,0:04:17.00,Default,,0000,0000,0000,,Vi ganger begge sider med 8.
Dialogue: 0,0:04:17.00,0:04:24.77,Default,,0000,0000,0000,,y er lig med 8 gange 4.
Dialogue: 0,0:04:24.77,0:04:27.16,Default,,0000,0000,0000,,Det er 32 over 5.
Dialogue: 0,0:04:27.16,0:04:31.98,Default,,0000,0000,0000,,.
Dialogue: 0,0:04:31.98,0:04:33.82,Default,,0000,0000,0000,,Det her eksempel viser,
Dialogue: 0,0:04:33.82,0:04:37.17,Default,,0000,0000,0000,,at vi ikke kun kan tage det på øjemål.
Dialogue: 0,0:04:37.17,0:04:39.86,Default,,0000,0000,0000,,Nogle gange kan man,
Dialogue: 0,0:04:39.86,0:04:42.71,Default,,0000,0000,0000,,men det er ikke altid tydeligt, hvilke sider der er ensliggende.
Dialogue: 0,0:04:42.71,0:04:45.61,Default,,0000,0000,0000,,Måske ville man sige,
Dialogue: 0,0:04:45.61,0:04:48.27,Default,,0000,0000,0000,,at de her sider er ensliggende.
Dialogue: 0,0:04:48.27,0:04:49.50,Default,,0000,0000,0000,,.
Dialogue: 0,0:04:49.50,0:04:53.15,Default,,0000,0000,0000,,Vi skal virkelig holde øje med,
Dialogue: 0,0:04:53.15,0:04:55.00,Default,,0000,0000,0000,,hvilke sider der passer til hvilke vinkler.
Dialogue: 0,0:04:55.00,0:04:58.18,Default,,0000,0000,0000,,Enhver side til en bestemt vinkel
Dialogue: 0,0:04:58.18,0:05:02.61,Default,,0000,0000,0000,,har en ensliggende vinkel i den anden trekant,
Dialogue: 0,0:05:02.61,0:05:04.30,Default,,0000,0000,0000,,og siden modsat den vinkel er den ensliggende side.
Dialogue: 0,0:05:04.30,0:05:07.80,Default,,0000,0000,0000,,Det er mange tekniske ord,
Dialogue: 0,0:05:07.80,0:05:09.67,Default,,0000,0000,0000,,men forhåbentlig giver det mening.
Dialogue: 0,0:05:09.67,0:05:12.23,Default,,0000,0000,0000,,Lad os lave en opgave mere.
Dialogue: 0,0:05:12.23,0:05:16.97,Default,,0000,0000,0000,,Lad os bevise,
Dialogue: 0,0:05:16.97,0:05:18.16,Default,,0000,0000,0000,,at 2 trekanter er ligedannede.
Dialogue: 0,0:05:18.16,0:05:20.71,Default,,0000,0000,0000,,.
Dialogue: 0,0:05:20.71,0:05:21.80,Default,,0000,0000,0000,,.
Dialogue: 0,0:05:21.80,0:05:25.83,Default,,0000,0000,0000,,Lad os tegne 2 parallelle linjer igen.
Dialogue: 0,0:05:25.83,0:05:28.52,Default,,0000,0000,0000,,.
Dialogue: 0,0:05:28.52,0:05:31.48,Default,,0000,0000,0000,,Lad os tegne dem.
Dialogue: 0,0:05:31.48,0:05:34.45,Default,,0000,0000,0000,,Der var en.
Dialogue: 0,0:05:34.45,0:05:35.30,Default,,0000,0000,0000,,Sådan.
Dialogue: 0,0:05:35.30,0:05:39.14,Default,,0000,0000,0000,,.
Dialogue: 0,0:05:39.14,0:05:41.24,Default,,0000,0000,0000,,De her er parallelle.
Dialogue: 0,0:05:41.24,0:05:45.11,Default,,0000,0000,0000,,Lad os skrive det.
Dialogue: 0,0:05:45.11,0:05:46.22,Default,,0000,0000,0000,,Parallelle.
Dialogue: 0,0:05:46.22,0:05:49.99,Default,,0000,0000,0000,,Vi skal bevise,
Dialogue: 0,0:05:49.99,0:05:58.30,Default,,0000,0000,0000,,at den her trekant er ligedannet med den større trekant.
Dialogue: 0,0:05:58.30,0:06:00.31,Default,,0000,0000,0000,,Det er den her.
Dialogue: 0,0:06:00.31,0:06:01.19,Default,,0000,0000,0000,,Det er interessant.
Dialogue: 0,0:06:01.19,0:06:02.49,Default,,0000,0000,0000,,De overlapper hinanden.
Dialogue: 0,0:06:02.49,0:06:02.83,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:02.83,0:06:08.07,Default,,0000,0000,0000,,Ved vi,
Dialogue: 0,0:06:08.07,0:06:10.97,Default,,0000,0000,0000,,om der er nogen af de her vinkler,
Dialogue: 0,0:06:10.97,0:06:12.42,Default,,0000,0000,0000,,der er lig med hinanden?
Dialogue: 0,0:06:12.42,0:06:13.01,Default,,0000,0000,0000,,Ja, det gør vi.
Dialogue: 0,0:06:13.01,0:06:13.88,Default,,0000,0000,0000,,Der er den her vinkel.
Dialogue: 0,0:06:13.88,0:06:16.73,Default,,0000,0000,0000,,De har den tilfælles.
Dialogue: 0,0:06:16.73,0:06:17.23,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:17.23,0:06:20.25,Default,,0000,0000,0000,,De 2 trekanter overlapper nemlig i det punkt.
Dialogue: 0,0:06:20.25,0:06:22.00,Default,,0000,0000,0000,,Hvad ved vi ellers?
Dialogue: 0,0:06:22.00,0:06:23.95,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:23.95,0:06:25.53,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:25.53,0:06:26.93,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:26.93,0:06:31.55,Default,,0000,0000,0000,,Der er den her vinkel.
Dialogue: 0,0:06:31.55,0:06:33.47,Default,,0000,0000,0000,,Hvilke andre vinkler er lig med den her vinkel?
Dialogue: 0,0:06:33.47,0:06:37.32,Default,,0000,0000,0000,,Vi kan bruge vores viden
Dialogue: 0,0:06:37.32,0:06:42.35,Default,,0000,0000,0000,,om transversaler og parallelle linjer.
Dialogue: 0,0:06:42.35,0:06:44.86,Default,,0000,0000,0000,,Hvilken vinkel svarer den her vinkel til?
Dialogue: 0,0:06:44.86,0:06:46.62,Default,,0000,0000,0000,,Den svarer til den her vinkel.
Dialogue: 0,0:06:46.62,0:06:48.32,Default,,0000,0000,0000,,De er ens.
Dialogue: 0,0:06:48.32,0:06:49.75,Default,,0000,0000,0000,,Det ved vi fra de parallelle linjer.
Dialogue: 0,0:06:49.75,0:06:50.09,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:50.09,0:06:52.00,Default,,0000,0000,0000,,De er lig med hinanden.
Dialogue: 0,0:06:52.00,0:06:57.15,Default,,0000,0000,0000,,.
Dialogue: 0,0:06:57.15,0:06:59.55,Default,,0000,0000,0000,,Vi kan tegne en tredobbelt vinkel her.
Dialogue: 0,0:06:59.55,0:07:00.11,Default,,0000,0000,0000,,.
Dialogue: 0,0:07:00.11,0:07:02.61,Default,,0000,0000,0000,,Den ensliggende vinkel er her.
Dialogue: 0,0:07:02.61,0:07:05.25,Default,,0000,0000,0000,,.
Dialogue: 0,0:07:05.25,0:07:05.83,Default,,0000,0000,0000,,Vi ved,
Dialogue: 0,0:07:05.83,0:07:10.45,Default,,0000,0000,0000,,at alle 3 vinkler er ens.
Dialogue: 0,0:07:10.45,0:07:11.76,Default,,0000,0000,0000,,Det er altså en ligedannet trekant.
Dialogue: 0,0:07:11.76,0:07:16.54,Default,,0000,0000,0000,,.
Dialogue: 0,0:07:16.54,0:07:18.78,Default,,0000,0000,0000,,Lad os prøve med et
Dialogue: 0,0:07:18.78,0:07:19.92,Default,,0000,0000,0000,,trickspørgsmål.
Dialogue: 0,0:07:19.92,0:07:24.43,Default,,0000,0000,0000,,Herfra og hertil er der 5.
Dialogue: 0,0:07:24.43,0:07:29.53,Default,,0000,0000,0000,,Herfra og hertil er der 7.
Dialogue: 0,0:07:29.53,0:07:41.25,Default,,0000,0000,0000,,.
Dialogue: 0,0:07:41.25,0:07:46.82,Default,,0000,0000,0000,,Herfra og hertil
Dialogue: 0,0:07:46.82,0:07:49.82,Default,,0000,0000,0000,,er der 12.
Dialogue: 0,0:07:49.82,0:08:01.43,Default,,0000,0000,0000,,Herfra og hertil er der 6.
Dialogue: 0,0:08:01.43,0:08:04.92,Default,,0000,0000,0000,,Vi skal finde den her.
Dialogue: 0,0:08:04.92,0:08:06.08,Default,,0000,0000,0000,,Hvordan gør vi det?
Dialogue: 0,0:08:06.08,0:08:08.72,Default,,0000,0000,0000,,Vi har gjort det forvirrende
Dialogue: 0,0:08:08.72,0:08:10.05,Default,,0000,0000,0000,,ved at tegne alle de her snoede linjer.
Dialogue: 0,0:08:10.05,0:08:11.46,Default,,0000,0000,0000,,Vi ved allerede,
Dialogue: 0,0:08:11.46,0:08:12.46,Default,,0000,0000,0000,,at de her 2 trekanter er ligedannede.
Dialogue: 0,0:08:12.46,0:08:14.91,Default,,0000,0000,0000,,Vi kan bruge den viden til at finde forholdene.
Dialogue: 0,0:08:14.91,0:08:20.11,Default,,0000,0000,0000,,Vi kalder den her for x.
Dialogue: 0,0:08:20.11,0:08:21.70,Default,,0000,0000,0000,,.
Dialogue: 0,0:08:21.70,0:08:23.32,Default,,0000,0000,0000,,Hvad ved vi?
Dialogue: 0,0:08:23.32,0:08:31.35,Default,,0000,0000,0000,,Hvilken side i den lille trekant
Dialogue: 0,0:08:31.35,0:08:33.25,Default,,0000,0000,0000,,svarer hele den her side til?
Dialogue: 0,0:08:33.25,0:08:34.58,Default,,0000,0000,0000,,Den svarer til den her side.
Dialogue: 0,0:08:34.58,0:08:34.82,Default,,0000,0000,0000,,.
Dialogue: 0,0:08:34.82,0:08:37.08,Default,,0000,0000,0000,,Her.
Dialogue: 0,0:08:37.08,0:08:39.22,Default,,0000,0000,0000,,.
Dialogue: 0,0:08:39.22,0:08:42.78,Default,,0000,0000,0000,,De er begge orange og er ensliggende.
Dialogue: 0,0:08:42.78,0:08:44.03,Default,,0000,0000,0000,,.
Dialogue: 0,0:08:44.03,0:08:47.19,Default,,0000,0000,0000,,Den orange her
Dialogue: 0,0:08:47.19,0:08:49.90,Default,,0000,0000,0000,,svarer til hele den her linje.
Dialogue: 0,0:08:49.90,0:08:52.77,Default,,0000,0000,0000,,I den store trekant
Dialogue: 0,0:08:52.77,0:08:54.21,Default,,0000,0000,0000,,er den her side ikke bare x.
Dialogue: 0,0:08:54.21,0:08:54.49,Default,,0000,0000,0000,,.
Dialogue: 0,0:08:54.49,0:08:55.88,Default,,0000,0000,0000,,Det er nemlig ikke hele siden i den her trekant.
Dialogue: 0,0:08:55.88,0:08:56.93,Default,,0000,0000,0000,,Det er x plus 5.
Dialogue: 0,0:08:56.93,0:09:00.85,Default,,0000,0000,0000,,.
Dialogue: 0,0:09:00.85,0:09:02.06,Default,,0000,0000,0000,,Det er hele den her side.
Dialogue: 0,0:09:02.06,0:09:02.45,Default,,0000,0000,0000,,.
Dialogue: 0,0:09:02.45,0:09:06.12,Default,,0000,0000,0000,,.
Dialogue: 0,0:09:06.12,0:09:11.34,Default,,0000,0000,0000,,x plus 5 over den ensliggende side i den lille trekant.
Dialogue: 0,0:09:11.34,0:09:12.66,Default,,0000,0000,0000,,Den ensliggende side
Dialogue: 0,0:09:12.66,0:09:14.63,Default,,0000,0000,0000,,i den mindre trekant er den her.
Dialogue: 0,0:09:14.63,0:09:16.61,Default,,0000,0000,0000,,Det er over 5.
Dialogue: 0,0:09:16.61,0:09:17.87,Default,,0000,0000,0000,,.
Dialogue: 0,0:09:17.87,0:09:22.18,Default,,0000,0000,0000,,Vi kan sige,
Dialogue: 0,0:09:22.18,0:09:25.74,Default,,0000,0000,0000,,at den er lig med 12,
Dialogue: 0,0:09:25.74,0:09:27.33,Default,,0000,0000,0000,,fordi den her er ensliggende med vinklen i den store trekant.
Dialogue: 0,0:09:27.33,0:09:30.54,Default,,0000,0000,0000,,Den er lig med 12 over hvad?
Dialogue: 0,0:09:30.54,0:09:33.98,Default,,0000,0000,0000,,Over 6. Det er nemlig den lille trekant.
Dialogue: 0,0:09:33.98,0:09:34.93,Default,,0000,0000,0000,,Nu kan vi løse det.
Dialogue: 0,0:09:34.93,0:09:35.90,Default,,0000,0000,0000,,Det her bliver 2.
Dialogue: 0,0:09:35.90,0:09:36.86,Default,,0000,0000,0000,,.
Dialogue: 0,0:09:36.86,0:09:40.94,Default,,0000,0000,0000,,x plus 5 er lig med 10.
Dialogue: 0,0:09:40.94,0:09:43.53,Default,,0000,0000,0000,,x er lig med 5.
Dialogue: 0,0:09:43.53,0:09:46.30,Default,,0000,0000,0000,,Sådan.
Dialogue: 0,0:09:46.30,0:09:48.56,Default,,0000,0000,0000,,Vi er færdige.
Dialogue: 0,0:09:48.56,0:09:51.54,Default,,0000,0000,0000,,Forhåbentlig gav det
Dialogue: 0,0:09:51.54,0:09:52.58,Default,,0000,0000,0000,,noget viden om
Dialogue: 0,0:09:52.58,0:09:54.72,Default,,0000,0000,0000,,ligedannede trekanter.