To find the length of the segment opposite the right angle, we can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side, in this case opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let x be the length of the segment opposite the right angle. Then, by the Pythagorean theorem:
x^2 = 10^2 + 24^2
x^2 = 100 + 576
x^2 = 676
x = sqrt(676)
x = 26
Therefore, the length of the segment opposite the right angle is 26.
A right triangle is drawn. The short segment adjacent to the right angle is 10. the long segment adjacent to the right angle is 24. The segment opposite the right angle is the unknown measure.
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