Предмет: Алгебра, автор: Julia9721

Гипотенуза прямоугольного треугольника равна 13 см.Найти катеты,если известно , что один из них на 7 больше другого.

Ответы

Автор ответа: qNk777

(x+7)^2+x^2=13^2

x^2+14x+49+x^2-169=0

2x^2+14x-120=0

д=196+4*2*120=196+960=1156=34^2

x1=-14+34/4=5

x2=-14-34/4=-12 постор.корень.

2катет=13^2-5^2=144=12^2

Ответ: 5 и 12.

Если что не понятно пиши.

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