Geometri153 views·Updated Jun 17, 2026·1 page

Kenar Uzunluklarına Göre Üçgen Türleri

Zeynep@zeynep_9ronz

Matematik dersinde karşına çıkan üçgen problemleriaslında düşündüğünden çok daha...

of 1

Kenarlarına Göre ose sagenler

1)3-4-5

SE

3k

17

B
hk

2)5-12-13
A

B

134

124

3)8-15-17
A

751

7

B

86

176

2

4)7-24-25

Not
A

25

Özel Üçgenler ve Çözüm Yöntemleri

Kenar uzunluklarına göre özel üçgenler vardır ve bunları ezberlemen sınavlarda çok zaman kazandırır. En önemlileri 3-4-5, 5-12-13, 8-15-17 ve 7-24-25 üçgenleridir.

Bu sayıların ortak özelliği Pisagor teoremini sağlamalarıdır. Mesela 3² + 4² = 5² gibi. Eğer bir problemde bu sayıları görürsen, hemen dik üçgen olduğunu anlayabilirsin.

Açılara göre özel üçgenler de vardır: 30°-60°-90°, 45°-45°-90°, 30°-30°-120° ve 15°-75°-90°. Her birinin kendine özel kenar oranları bulunur.

İpucu: Bir üçgende 30°, 45° veya 60° açısı gördüğünde, karşısına dik çizebilirsin. 105°, 135° veya 150° gördüğünde ise dışına dik çiz!

Bu özel üçgen türleri sayesinde karmaşık görünen problemleri çok hızlı çözebilirsin. Formülleri ezberlemeye gerek yok, sadece mantığını kavra yeter!

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