Question

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?

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

Answer 2

The lengths of the sides of a triangle are three consecutive even integers will be 10, 12, and 14.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The lengths of the sides of a triangle are three consecutive even integers.

Let the consecutive even integer be x, x + 2, and x + 4.

Then the perimeter of the triangle is 36 inches.

We know that the sum of all sides of the triangle will be known as the perimeter.

x + x + 2 + x + 4 = 36

3x = 36 - 6

3x = 30

x = 10

Then the lengths of the sides of a triangle are three consecutive even integers will be 10, 12, and 14.

More about the Algebra link is given below.

https://brainly.com/question/953809

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