Предмет: Геометрия, автор: m7m4

Найдите радиус окружности, вписаной в треугольник со сторонами 10, 24, 26

Ответы

Автор ответа: Dимасuk

r = S/p = √p(p-a)(p-b)(p-c)/p, где p = 1/2(a+b+c) = 1/2(10+24+26) =30. Значит, r = √30(30-10)(30-24)(30-26)/30 = √30*20*6*4/30 = √14400/30 = 120/30 = 4.

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