Question

The lengths of the three sides of a triangle are 7, x+4 and 2x+1. The perimeter of the triangle is 36. What is the length of the longest side of the triangle?

Answer 1

17.

Explaination:

Dunno. I just put it on paper, and did the calculations there.

Answer 2

Length of the longest side = 17 units

Explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units