SOLUTION: a triangle has a perimeter of 176 feet. the second side is 25 feet longer than the first. the third side is 5 feet shorter than the first. find the length of each side by first set

Question 1102709: a triangle has a perimeter of 176 feet. the second side is 25 feet longer than the first. the third side is 5 feet shorter than the first. find the length of each side by first setting up a linear equation then solving?
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

First side + second side + third side = 176       (the perimeter)


x          + (x+25)       + (x-5)      = 176


x + (x+25) + (x-5) = 176  ====>


3x + 20 = 176  ====>  3x = 176 - 20 = 156  ====>  x =  = 52 cm.


Answer.  First side is 52 cm.  Second side is  52 + 25 = 77 cm.  Third side is 52 - 5 = 47 cm.


Check.   You need to check that ALL THREE TRIANGLE INEQUALITIES for the side lengths are satisfied.

         I leave this check to you.

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