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

Algebra ->  Inequalities -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
Let the length of the first side be x inches.
The length of the second side is x%2B3 inches.
The length of the third side is %28x%2B3%29%2B3=x%2B6 inches.
The perimeter is x%2Bx%2B3%2Bx%2B6=3x%2B9 inches.
Your inequality for the perimeter is
3x%2B9%3C36 <--> 3x%3C36-9 <--> 3x%3C27 <--> highlight%28x%3C9%29
You also know that x%3E3, and that x is a whole number.
So x is a while number that satisfies 3%3Cx%3C9.
The possible values for x are:
4, 5, 6 ,7, and 8,
so there are highlight%285%29 possible triangles.