Question

A right angled teiangle has sides of lengths (x+5) cm, (x-3) cm and 9 cm. Calculate the value of x

Answer 1

3.95

Explanation:

(x + 5)^2 + (x - 3)^2 = 9^2

x^2 + 10x + 25 + x^2 - 6x + 9 = 81

2x^2 + 4x - 47 = 0

x = (-4 ± √392)/4

x ≈ -5.9497, 3.9497 => x = 3.95