Question

A triangle has side lengths of 5a+3 inches and 2a+3 inches. If the perimeter of the triangle is 9a+12 inches, which expression represents the length, in inches, of the third side of the triangle?

Answer 1

Answer:

(2a+7) units

Step-by-step explanation:

Perimeter is sum of all sides of the triangle.

Since 2 sides are given, let the length is third side be 'x'.

Now, (5a+3)+(2a+3)+(x)=9a+12

7a+5+x=9a+12

x=9a+12-7a-5

x=2a+7

So, the length of the third side will be (2a+7) units.

Thank you