Question

Two sides of a triangle can be represented by the expressions 3x+8 and 2x2-4x+5.If the perimeter of the triangle is 4x2+2x-10, what expression can be used to represent the third side?

Answer 1

s = 2x²+3x-23

Explanation:

Given that,

First side of a triangle = 3x+8

Second side of a triangle = 2x²-4x+5

The perimeter of the triangle = 4x²+2x-10

We need to find the expression for the third side. Let the third side b s.

Perimeter = Sum of all sides

4x²+2x-10 = 3x+8 + 2x²-4x+5 +s

4x²+2x-10 = 2x²-x+13+s

s = 4x²+2x-10- (2x²-x+13)

= 2x²+3x-23

So, the third side will be 2x²+3x-23.