Maths-

General

Easy

Question

# The perimeter of a right triangle is 132 cm. and the sum of the squares of its sides is 6050 cm^{2}. What is the sum of the perpendicular sides –

- 77 cm
- 55 cm
- 44 cm
- 33 cm

## The correct answer is: 77 cm

### We should find the sum of the perpendicular sides

let the sides be a b and c where c is the hypotenuse.

a²+b²=c²

the sum of squares of its sides is 6050.

a²+b²+c²=6050

a²+b²+a²+b²=6050

2(a²+b²)=6050

a²+b²=3025

c²=3025

c=√3025=55

The perimeter of a right triangle is 132cm.

a+b+c=132

a+b+55=132

a+b=77

Hence Choice 1 is correct

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