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The reference to hypotenuse tells you that this is a right triangle, so the Pythagorean theorem applies. You can't figure area until you know both legs of the right triangle. Letting x be unknown side, you can write 15^2 + x^2 = 17^2.

Rearranging: x^2 = 17^2 - 15^2. Use a calculator. x turns out to be a whole number.

The area of a right triangle is half the product of its sides (picture a rectangle cut in half diagonally). That would be (x*15)/2.

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Q: What is the area of a triangle with a hypotenuse of 17 and height of 15?
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