Answer:
x = 135
Explanation:
m = length of perpendicular line to hypotenuse
81/m = m/144
m² = 81 x 144 = 11664
m =√11664 = 108
Using the Pythagorean theorem:
x² = 81² + 108² = 6561 + 11664 = 18225
x = √18225 = 135
9514 1404 393
Side x is the geometric mean of the hypotenuse segments it touches.
x = √(81×(81+144)) = √81×√225 = 9×15
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