Предмет: Геометрия, автор: kotova20051234

Один из углов прямоугольный треугольника = 60 градусов , сумма гипотенузе и меньшего катета = 18 см . Найти гипотенузу .

kotova20051234: помогите решить

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Автор ответа: даховская

второгй угол будет равен 30 (180-90-60=30)
меньший катет-катет, который лежит против меньшего угла, т.е.
катет, лежащий против угла 30гр, а он равен половине гипотенузы.
пусть х - катет, 2х - гипотенуза.
х+2х=18; 3х=18; х=6.
гипотенуза равна 6*2=12
ответ:12

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