Question

The perimeter of a triangle is 6p2-4p+9 and two of its adjacent side are p2 -2p+1 and 3p2-5p+3.Find the 3rd side

Answer 1

Answer:

C = 2p² + 3p - 5

Step-by-step explanation:

Let A & B denote the other two adjacent sides respectively.

Let the third side be denoted by C

Given the following data;

Perimeter of triangle = 6p² - 4p + 9

Length of one side = p² - 2p + 1

Length of one side = 3p² - 5p + 3

The perimeter of a triangle is given by the addition of all its three (3) sides.

Mathematically, the perimeter of a triangle is given by the formula;

P = A + B + C

6p² - 4p + 9 = p² - 2p + 1 + 3p² - 5p + 3 + C

6p² - 4p + 9 = 4p² - 7p + 4 + C

C = 2p² + 3p - 5