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
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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):
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.
