SOLUTION: the length of the hypotenuse of a right triangle is twice the length of the shorter leg plus 3 m the longer leg is 7 m longer than the shorter leg find the lengths of the sides
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-> SOLUTION: the length of the hypotenuse of a right triangle is twice the length of the shorter leg plus 3 m the longer leg is 7 m longer than the shorter leg find the lengths of the sides
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Question 778975: the length of the hypotenuse of a right triangle is twice the length of the shorter leg plus 3 m the longer leg is 7 m longer than the shorter leg find the lengths of the sides Answer by oscargut(2103) (Show Source):
You can put this solution on YOUR website! Let x the length of the shorter leg
(2x+3)^2 = (x+7)^2+x^2
4x^2+12x+9 = 2x^2+14x +49
2x^2-2x-40 =0
x^2-x-20 = 0
x = 5 or x = -4 (x > 0)
Then x = 5
Answer: 5, 12 and 13
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