Предмет: Геометрия, автор: Limekys

Стороны треугольника равны 36 см; 24см;42 см
стороны 2 треугольника относятся 4:6:7, а меньшая сторона =6 см
найти отношение S большего треугольника к S меньшего треугольника

Ответы

Автор ответа: nafanya2014

0

Стороны треугольника равны 36 см; 24см;42 см

их отношение в порядке возрастания

$24:36:42=4:6:7$

Значит стороны одного треугольников пропорциональны сторонам другого треугольника

Треугольники подобны

Меньшая сторона большего треугольника равна 24см

Меньшая сторона меньшего треугольника равна 6см

S (большего треугольника):S( меньшего треугольника)=(24:6)^2=16

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