SOLUTION: one leg of a right triangle is 9 inches. the hypotenuse is 3 inches more than the other leg. find the measurements of the other two sides of the right triangle

Algebra ->  Triangles -> SOLUTION: one leg of a right triangle is 9 inches. the hypotenuse is 3 inches more than the other leg. find the measurements of the other two sides of the right triangle      Log On


   

Question 1071219: one leg of a right triangle is 9 inches. the hypotenuse is 3 inches more than the other leg. find the measurements of the other two sides of the right triangle
Found 3 solutions by addingup, josgarithmetic, ikleyn:
Answer by addingup(3677) About Me  (Show Source):
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one leg: 9
the other: x
hypotenuse: x+3
x^2+9^2 = (x+3)^2
x^2+81 = x^2+6x+9
Subtract x^2+6x+9 from both sides:
72-6x = 0
-6(x-12) = 0
Divide both sides by -6:
x-12 = 0
x = 12 This is the other leg
The hypotenuse: 9^2+12^2 = h^2; 81+144 = 225, sqrt 225 = 15
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Short leg: 9
Long leg: 12
Hypotenuse: 15
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Happy learning,
John

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
One leg, 9 inch
Hypotenuse, 3+x
Other leg, x

x%5E2%2B9%5E2=%28x%2B3%29%5E2
x%5E2%2B81=x%5E2%2B6x%2B9
subtract x%5E2 from both sides.
81=6x%2B9
6x%2B9=81
6x=72
x=%282%2A6%2A6%29%2F6
highlight%28x=12%29---------"Other" leg

Hypotenuse: x%2B3=12%2B3=highlight%2815%29------Hypotenuse

Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.
This (9,12,15) right-angled triangle is well-known (3,4,5)-right-angled triangle with the scale factor (=similarity coefficient) 3.