Math CentralQuandaries & Queries


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.

Stephen La Rocque.

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