Предмет: Геометрия, автор: Аноним

Дано : трикутник АВС, кут C=90°, кут B у 2 рази менший, ніж кут A
Знайти: кут В, кут A

Ответы

Автор ответа: darinaberegova

Ответ:

30°,60°

Объяснение:

Так як за умовою сказано,що C=90°,то трикутник прямокутний. А сума гострих кутів трикутника 90°. Позначимо кут В за х,тоді кут А за 2х. Маємо рівняння:

х+2х=90

Розв'яжемо його:

3х=90

х=30

Отже,В=30°,А=2×30=60°

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