The lengths of the sides of a triangle are three consecutive even integers. the perimeter of the triangle is 36 in. what is the length of the longest side of the triangle?

Question

Mathematics

Janetta

22 September, 04:18

The lengths of the sides of a triangle are three consecutive even integers. the perimeter of the triangle is 36 in. what is the length of the longest side of the triangle?

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Answers (1)

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Julia · Answer 1

We call the length of 3 sides a, a+1 and a+2

Cause we know its perimeter 36 so we have

a+a+1+a+2=36

or 3a+3=36

and 3a=36-3

so 3a=33

a=11

And the length of the longest side is 13