Question

The perimeter of a triangle is 14a² + 20a + 13. Two of its sides are 3a² + 5a + 1 and a² + 10a - 6. Find its third side
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PLEASE ANSWER!!​

Answer 1

As we know that the perimeter of a triangle is the sum of all the sides.

Suppose that the third side of the triangle is X then,

According to the given data in the question-

14a  

2

+20a+13=3a  

2

+5a+1+a  

2

+10a−6+X

14a  

2

+20a+13=4a  

2

+15a−5+X

X=14a  

2

+20a+13−(4a  

2

+15a−5)

X=14a  

2

+20a+13−4a  

2

−15a+5

X=10a  

2

+5a+18

Hence, the third side will be 10a  

2

+5a+18.