A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x. Give your answer to 3 significant figures. (Quadratic Formula)

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)

answer: a

step-by-step explanation:

if xy ~ yz therefore xy would be the same length as yz

i believe the answers 600m