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

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:
 
 From here, we clear the value of x.
 We have then:
 
 Then, the length of the longest side is:
 
 
 The length of the longest side is 33 inches.

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