SOLUTION: THE FLOWER GARDEN HAS THE SHAPE OF A RIGHT TRIANGLE. 10 FT OF A PERENNIAL BORDER FORMS THE HYPOTENUSE OF THE TRIANGLE, AND ONE LEG IS 2 FT LONGER THAN OTHER LEG. FIND THE LENGTHS

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Question 440191: THE FLOWER GARDEN HAS THE SHAPE OF A RIGHT TRIANGLE. 10 FT OF A PERENNIAL BORDER FORMS THE HYPOTENUSE OF THE TRIANGLE, AND ONE LEG IS 2 FT LONGER THAN OTHER LEG. FIND THE LENGTHS OF THE LEGS.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
x2+(x+2)2=(10)2
x2+x2+4x+4=100
2x2+4x+4=100
x2+2x+2=50
x2+2x-48=0
(x+8)(x-6)=0
x=-8 or 6
Throwing out the negative answer, we get x=6, x+2=8..