Angle T of right triangle TUV measures 45°. If base TU measures 10 units, what is the length of the hypotenuse of triangle TUV?

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If the measure of one base angle of a right triangle is 45°, then the measure of the other base angle must also be 45° (180 – (90 + 45) = 45). Therefore, TUV is an isosceles right triangle, or a 45-45-90 right triangle. The hypotenuse of a 45-45-90 right triangle is equal to √2 times the length of a base. Since the length of a base is 10, the hypotenuse of the triangle is 10√2 units.

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