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| Math Central | Quandaries & Queries |
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Question from Ali, a student: The length of a hypotenuse of a right triangle is 2 metre more than the longer leg. The length of the longer leg is 7 metre more than the length of the shorter leg. Find the number of metre in length of each side of the right triangle. |
Hi Ali.
Use the Pythagorean Theorem. Let x = the length of the long leg.
Then (x+2)2 = x2 + (x-7)2.
Solve for x.
Cheers,
Stephen La Rocque.
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