SOLUTION: ONE SIDE OF A TRIANGLE IS HALF THE LONGEST SIDE. THE THIRD SIDE IS 16 FEET LESS THAN THE LONGEST SIDE. THE PERIMETER IS 69. FIND ALL THREE SIDES.

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Question 1058475: ONE SIDE OF A TRIANGLE IS HALF THE LONGEST SIDE. THE THIRD SIDE IS 16 FEET LESS THAN THE LONGEST SIDE. THE PERIMETER IS 69. FIND ALL THREE SIDES.
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make longest side = x
One side = x/2
Third side = x - 16
Perimeter = x + x/2 + x - 16
x + x/2 + x - 16 = 69
Collect like terms
x + x + x/2 = 69 + 16
2x + x/2 = 85
(4x + x)/2 = 85
Cross multiply
5x = 85 * 2 (* = times)
5x = 170
x = 34
Longest side = 34 feet
One side = 17 feet
Third side = 18 feet
Hope this helps :-)