Question

The perimeter of a triangle is 49ft. One side of the triangle is 17ft shorter than the second side. The third side is 6ft shorter than the second side. Find the length of each side

Answer 1

7,24,18

Explanation:

perimeter of a triangle = a₁ + a₂ + a₃

A/Q

let, 2nd side = x

then, 1st side =x-17

3rd side = x-6

perimeter= 49

.:

49 = (x-17)+ x + (x-6)

49 = x-17+x+x-6

49 = 3x -23

3x = 49+23

3x = 72

x = 72/3

x= 24

.:

1st side = (x-17) = 24-17=7

1st side= 7

2nd side = x = 24

3rd side = x-6

=24-6

=18

3rd side = 18

on calculating perimeter = 7+24+18=49.

Hope it helps:)