SOLUTION: The flower garden has the shape of a right triangle. 34 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 14ft longer than the other leg. Find the lengh

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Question 394754: The flower garden has the shape of a right triangle. 34 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 14ft longer than the other leg. Find the lenghts of the leg.
What are the lenghts of the legs? (use a comma to separate answers as needed)

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
one leg is 14ft longer than the other leg
Let x and (x+14) represent the lengths of the legs
Applying the Pytahgorean Theore,
x^2 + (x+14ft)^2 = (34ft)^2
solving for x
2x^2 + 28x + 196 = 1156
2x^2 + 28x - 960 = 0
x^2 + 14z - 480 = 0

x = -30 and x = 16 |tossing out negative solution: x = 16
the lengths of the leg are 16ft and 30ft (16ft + 14ft)
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