Question

The lengths of sides of triangle are x cm,(x + 1) cm and (x + 2) cm, the value of x when triangle is right angled is

Answer 1

Answer:

x = 3 cm

Step-by-step explanation:

height = x cm

base = (x+1) cm

hypogenous = (x+2) cm (Longest side)

Formula:

$hyp^{2} = base^{2} + height^{2} \\(x+2)^{2} = (x+1)^{2} + x^{2} \\x^{2} + 4x + 4 = x^{2} +2x + 1 + x^{2}$

$x^{2} - 2x = 3$

x (x-2) = 3

x = 3