Problema Solution

The perimeter of a triangle with 2 equal sides is 42cm. If its base were lengthened by 7cm and each leg were shortened by 5cm, all 3 sides would be equal. Find the length of the base of the original triangle.

Answer provided by our tutors

let equal sides are x

and the base is y

x+x+y=42(sum of all sides)

again

x-5=y+7

=>x=y+12

thus putting in equ

2(y+12)+y=42

=> 3y=42-36=6

=>y=2

thus x=2+12=14

thus three sides are 2,14,14