Question

In a right angled triangle, the perpendicular sides are in the ratio 3:4 and its area is24cm'then its hypotenuse is ​

Answer 1

let the 2 perpendicular sides be 3x and 4x

therefore by Pythagoras theorem,

hypotenuse = √[(3x)²+(4x)²]

• √[9x²+16x²]
• √25x²
• =5x

perimeter = sum of 3 sides

therefore 96 = 3x+4x+5x

• 96 = 12x

• x = 8

therefore 3x = 24, 4x = 32, 5x = 40

the 3 sides are 24cm, 32cm, 40cm.