Question

calcule o valor de x no triangulo retângulo.

hipotenusa: x+5
cateto a: x+3
cateto b: 6

Answer 1

vamos lá....

(hipotenusa)²=(cateto)²+(cateto)²

(x+5)²=(x+3)²+6²

x²+10x+25=x²+6x+9+36

x²-x²+10x-6x=9+36-25

0x² +4x=45-25

4x=20

x=20÷4

x=5

Answer 2

Pitágoras: (x + 5)² = (x + 3)² + 6² → x² + 10x + 25 = x² + 6x + 9 + 36 →
x² - x² + 10x - 6x = 9 + 36 - 25 → 4x = 20 → x =  20  → x = 5
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