Автор - Colin Clark

Дано AB⟂a, CD=10√2, ∠CAD=90°, AC=AD. Найдите BD.

Ответ

Автор - Наталия Тузина
AC^2 + AD^2 = CD^2
AC = AD -------------> 2*AD^2 = CD^2 -------->
AD = V(CD^22) = CDV2 = 10V2V2 = 10
BD^2 + AB^2 = AD^2
BD^2 = AD^2 - AB^2 = 10^2 - 8^2 = 6^2 ------> BD = 6

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