Question 201868: In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer than one-half of the longest side, the second longest side is 4 feet shorterthan the longest side. What is the length of each side?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! In a triangle, the perimeter is 121 feet, the shortest side is 15 feet longer
than one-half of the longest side, the second longest side is 4 feet
shorter than the longest side. What is the length of each side?
:
Three sides: a, b, c; (c is the shortest side)
:
"the perimeter is 121 feet, "
a + b + c = 121
:
"the shortest side is 15 feet longer than one-half of the longest side,"
c = .5a + 15
:
" the second longest side is 4 feet shorter than the longest side."
b = a - 4
:
Using the perimeter equation, substitute for b and c; find a
a + (a-4) + (.5a+15) = 121
a + a + .5a - 4 + 15 = 121
2.5a + 11 = 121
2.5a = 121 - 11
2.5a = 110
a = 
a = 44 ft is the longest side
:
you can find b and c using the given equations
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