SOLUTION: A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 17 feet more than the length of the shortest side. Find

Algebra ->  Triangles -> SOLUTION: A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 17 feet more than the length of the shortest side. Find      Log On


   

Question 1059043: A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 17 feet more than the length of the shortest side. Find the dimensions if the perimeter is 157 feet.
Answer by stanbon(75887) About Me  (Show Source):
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A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 17 feet more than the length of the shortest side. Find the dimensions if the perimeter is 157 feet.
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shortest = s
3rd = t
other = o
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Equations:
o = 2s
t = s + 17
o + s + t = 157
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Substitute and solve for "s"::
2s + s+17 + s = 157
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4s = 140
s = 35 ft (shortest)
o = 2s = 70 ft (other)
t = s+17 = 52 ft (3rd side)
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Cheers,
Stan H.
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