SOLUTION: The longer leg of a right angle triangle is 7cm longer than the shorter leg.the hypotenuse is 9cm longer than than the shorter leg. Find the lengths of the triangle
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-> SOLUTION: The longer leg of a right angle triangle is 7cm longer than the shorter leg.the hypotenuse is 9cm longer than than the shorter leg. Find the lengths of the triangle
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Question 879342: The longer leg of a right angle triangle is 7cm longer than the shorter leg.the hypotenuse is 9cm longer than than the shorter leg. Find the lengths of the triangle Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website! Applying the Pythagorean theorem
x^2 + (x+7)^2 = (x+9)^2 |Expand
2x^2 + 14x + 49 = x^2 + 18x + 81
x^2 - 4x -32 = 0
(x - 8)(x+4) = 0, x = 8 (negative solution tossed out for unit measure)
shorter leg : 8
longer leg: 15
Hypotenuse: 17
