Предмет:
МатематикаАвтор:
анонимПримем за x один из катетов, тогда:
x + 7 - величина второго.
Так как треугольник прямоугольный по теореме Пифагора получим уравнение:
x^2 + (x + 7)^2 = 13^2;
x^2 + x^2 + 2x + 49 = 169;
2x^2 + 2x = 120;
x^2 + x - 60 = 0;
x12 = (-1 +- √60) / 2.
x = (-1 + √60) / 2 = -1/2 + √15.
Тогда второй катет равен:
-1/2 + √15 + 7 = 6,5 + √15.
Автор:
ellemarshДобавить свой ответ
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