Question

The Perimeter of a triangle is 50 cm. One side is 7cm longer than the another side and 5 cm shorter than the third side. Find all the sides of the triangle.

Answer 1

Imagine to have three segment: 1 is x, another is x+7 and the last is x-5. You know that their sum is 50, so you can write:

x+(x+7)+(x-5)=50
simplify:
3x+7-5=50
3x=48
x=16

16+7=23
16-5=11

So the thee sides are 11, 16 and 23.

Hope this helped.