Question

The hypotenuse of a right angled triangle is 25 cm. The other two sides are such that one is 5 cm longer than the other. Their lengths (in cm) are

• A. 10, 15
• B. 20, 25
• C. 15, 20
• D. 25, 30

Answer 1

The correct option is C

15, 20

By applying Pythagoras Theorem

AB² + BC² = AC²

$x^2$ + ${(x+5)}^2$ = 625

2$x^2$ + 25 + 10x = 625

2$x^2$ + 10x - 600 = 0

x = 15,-20

x = 15

Length of side of triangle are 15, 20