Question

The lengths of a triangle are consecutive odd integers. The perimeter of the triangle is 33in. What is the length of the longest side?

Answer 1

For this case, the first thing we must do is define a variable.
We have then:
x: shorter side length, odd number.
We now write the equation for the perimeter of the trig:

`x + (x + 2) + (x + 4) = 33`
From here, we clear the value of x.
We have then:

`3x + 6 = 33 3x = 33 - 6 x = 27/3 x = 9`
Then, the length of the longest side is:

`x + 4 = 9 + 4 = 13`
Answer:
The length of the longest side is 33 inches.