Предмет: Геометрия, автор: ГелИя1

один из острых углов прямоугольного треугольника в 9 раз меньше другого. Найдите эти углы

Ответы

Автор ответа: юля1353

0

возьмём треугольник АВС
угол А=90 .
сумма внутренних уголов равна 90 градусов.
осталось 90 градусов. тогда угол В=9 а угол С=81. проверим, 81:9=9
9 градусов острый угол .
удачи:)

Автор ответа: Newtion

0

Пусть данный угол будет = x.
То по условию, 2 острый угол будет равен:
$9x$
По сумме углов треугольника получаем:
$90^circ+x+9x=180^circ$
$10x+90^circ=180^circ$
$10x=90^circ$
$x=9^circ$

$alpha = 9^circ$
$beta=81^circ$
$gamma=90^circ$

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