Предмет: Геометрия, автор: LizaGrinv

ПОМОГИТЕ УМАЛЯЮ!! В равнобедренном треугольнике длина основания относится к длине боковой стороны, как 9: 11, а pазница между ними 10 см. Найти периметр данного треугольника.

Ответы

Автор ответа: Аноним

Пусть длина основания a, длина боковой стороны b. Тогда a/b = 9/11.

a = 9t,

b = 11t,

b - a = 10см,

11t - 9t = 10см,

2t = 10см,

t = 5см.

a = 9·5см = 45 см,

b = 11·5см = 55 см,

P = a + b + b = a + 2b = 45см + 2·55см = 45см + 110см = 155см.

Ответ. 155 см.

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