Question

The sides of a right angled triangle are in the ratio 5 : 12 : 13 and its perimeter is 120 units then, the sides are .

(a) 25, 36, 59
(b) 10, 24, 26
(c) 36, 39, 45
(d) 20, 48, 52

Answer 1

(d) 20, 48, 52

The sides of a right angled triangle are in the ratio 5 : 12 : 13

Take the three sides as 5a, 12a, 13a

Its perimeter is 5a + 12a + 13a = 30a

It is given that 30a = 120 units

a = 4 units

∴ The sides 5a = 5 x 4 = 20 units

12a = 12 x 4 = 48 units

13a = 13 x 4 = 52 units