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In order to find the area, you need to know the two leg lengths. The hypotenuse won't tell you the area, but it does help you find the other leg length though the Pythagorean theorem A2 + B2 = C2, where A and B are the legs and C is the hypotenuse.

You have: 82 + B2 = 152

64 + B2 = 225

B2 = 161

B = sqrt(161) which is approximately 12.69

The area of a triangle is one half of the base times the height, which for a right triangle is .5*A*B. For this specific triangle, it is .5*8*12.69 = 50.75

The exact answer is .5*8*sqrt(161) = 4*sqrt(161)

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Q: If a right triangle has a hypotenuse of 15 and a leg length of 8 What is the area of the triangle?
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