Question

The two perpendicular sides of a right-angled triangle are in the ratio 3:4 and its perimeter is 108cm. What are the measures of the three sides?​

Answer 1

Answer:

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 108 = 3x+4x+5x

108 = 12x

x = 9

therefore 3x, 4x, 5x = 27 , 36 , 45

27 + 36 + 45 = 108cm