Question

The perimeter of a triangle is 16x2 – 24x + 8 and two of its sides are 4x2 + 6x – 2 and 10x2 – 15x + 5 . Find the third side.​

Answer 1

Answer: third side = 2x² - 15x + 5

Step-by-step explanation:

Perimeter of Δ = P=a+b+c

Given P = 16x² - 24x+ 8

          a = 4x² + 6x - 2

          b = 10x² - 15 x + 5

To find : c (third side)

P = a+ b + c

16x² - 24x+ 8 = 4x² + 6x - 2 + 10x² - 15 x + 5 + c

16x² - 24x+ 8 = 14x² - 9x + 3 + c

c = 16x² - 24x+ 8 - (14x² - 9x + 3)

c = 16x² - 24x+ 8 - 14x² + 9x - 3

c = 2x² - 15x + 5