Предмет: Геометрия, автор: voypalehche

В треугольнике АВС АС=ВС,АВ=14,высота АН=2 корень из 33.Найдите сторону ВС. Решение нужно

Ответы

Автор ответа: Hrisula

Сделаем и рассмотрим рисунок.
ВС=АС=ВН+СН
ВН из треугольника АВН по т. Пифагора
ВН=√(АВ²-АН²)=8
Тогда АС из треугольника АСН по т. Пифагора
АС²=АН²+СН²
(8+х)²-х²=132
16х=68
х=4,25
ВС=АС=8+4,25=12,25
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