In the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
Pythagorean theorem is given as: c² = a² + b², where a and b are the legs of a right triangle, and c is the hypotenuse (the side opposite the right angle).
Given:
c = TV = 17
a = UT = ?
b = UV = 8
Plug in the values
17² = UT² + 8²
UT = √(17² - 8²)
UT = 15.
Thus, in the right triangle given, the length of UT using the Pythagorean theorem is: UT = 15.
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