SOLUTION: The length of the first side of a triangle is a whole number greater than 3. The second side is 3 inches longer then the first, and the third side is 3 inches longer than the secon

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Question 662772: The length of the first side of a triangle is a whole number greater than 3. The second side is 3 inches longer then the first, and the third side is 3 inches longer than the second. How many such triangles have perimeters less than 36 inches? Need to write the inequality and solve it.
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
Let the length of the first side be inches.
The length of the second side is inches.
The length of the third side is inches.
The perimeter is inches.
Your inequality for the perimeter is
<--> <--> <-->
You also know that , and that is a whole number.
So is a while number that satisfies .
The possible values for x are:
4, 5, 6 ,7, and 8,
so there are possible triangles.

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