Question

The legs of the right -angled triangle are in ratio 5:12.If it's area is 120 sq. m, find the legs.

Answer 1

legs of right angled triangle are 10, 24 and 26

Let proportionality constant is r.

length one of sides is 5x and the other side is 12x.

from Pythagoras theorem,

Hypotenuse² = base² + altitude²

if we assume 5x is base , then 12x is altitude

now, hypotenuse² = (5x)² + (12x)²

= 25x² + 144x²

= 169x²

= (13x)²

now hypotenuse = 13x

area of right angled triangle = 1/2 × base × altitude

⇒ 120 = 1/2 × 5x × 12x

⇒120 = 30x²

⇒x² = 4

⇒x = 2

so, hypotenuse = 13x = 13 × 2 = 26

base = 5x = 5 × 2 = 10

altitude = 12x = 12 × 2 = 24

Answer 2

Answer:

Hey mate your correct answer is 10, 24, 26

Hope it helps!! And please mark me as brainliest!!