Question

In a triangle, longest side is `16m` more by shortest side, sum of longest and shortest side is twice the third side and perimeter is `90m`. Find all the sides?

Answer 1

Three sides are `22m`, `30m` and `38m`

Explanation:

Let the shortest side be `x`. As longest side is `16m` more by shortest side, longest side is `x+16`.

Further, sum of longest and shortest side is twice the third side, as such third side is `(x+16+x)/2=x+8`

and as perimeter is `90m`, we have

`x+x+16+x+8=90` or `3x+24=90` or `3x=66` i.e. `x=22`

and sides are `22`, `22+16=38` and `22+8=30`

Hence three sides are `22m`, `30m` and `38m`