Question

The Perimeter of a triangle is 8+13a+7a2(square) and two of its sides are 2a2 (square)+3a+2 and 3a2(square) -4a-1. Find the third side of the triangle.

please explain and answer

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Answer 1

Perimeter of Triangle = Sum of all Sides

Let the 3rd side = x

Given,

7a² + 13a + 8 = 2a² + 3a + 2 + 3a² - 4a - 1 + x

7a² + 13a + 8 = 5a² - a + 1 + x

x = 7a² + 13a + 8 - 5a² + a - 1

x = 2a² + 14a + 7 (3rd Side)