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
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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) (Show Source): You can put this solution on YOUR website!
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
-----------------------------
Short leg: 9
Long leg: 12
Hypotenuse: 15
------------------------------
Happy learning,
John
Answer by josgarithmetic(39613) (Show Source): You can put this solution on YOUR website!
One leg, 9 inch
Hypotenuse, 3+x
Other leg, x
subtract from both sides.
---------"Other" leg
Hypotenuse: ------Hypotenuse
Answer by ikleyn(52750) (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.
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