SOLUTION: In a right triangle, the length of the long leg is 2 inches more than twice the length of the short leg. The hypotenuse is 2 inches less than three times the length of the short le
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Question 1021940: In a right triangle, the length of the long leg is 2 inches more than twice the length of the short leg. The hypotenuse is 2 inches less than three times the length of the short leg. What is the length of each side of this triangle? Answer by ikleyn(52781) (Show Source):
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In a right triangle, the length of the long leg is 2 inches more than twice the length of the short leg.
The hypotenuse is 2 inches less than three times the length of the short leg. What is the length of each side of this triangle?
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Let x be the length of the short leg, in inches.
Then the length of the long leg is (2x+2).
The length of the hypotenuse is (3x-2).
You need to solve this equation
= .
Simplify:
= ,
= 0,
the roots are x = 0 and x = 5.
Answer. 5 in, 12 in and 13 in.
