Question

A triangle has a perimeter of 8x + 7. The first side of the triangle has a length of 4x, and the second side has a length of 2x − 3. What is the length of the third side of the triangle?

Answer 1

To find the length of the third side, we need to subtract the first two side lengths from the perimeter and simplify:

Perimeter = 8x + 7

First side = 4x

Second side = 2x - 3

Third side = Perimeter - First side - Second side

Third side = (8x + 7) - (4x) - (2x - 3)

Third side = 8x + 7 - 4x - 2x + 3

Third side = 2x + 10

Therefore, the length of the third side is 2x + 10.