Problem:
Line segments drawn from the vertex opposite the hypotenuse of a right triangle to the points trisecting the hypotenuse have lengths sinx and cosx, where x is a real number such that 0<x<2π. The length of the hypotenuse is
Answer Choices:
A. 34
B. 23
C. 535
D. 325
E. not uniquely determined by the given information
Solution:
Applying the Pythagorean theorem to △CDF and △CEG in the adjoining figure yields
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