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<2Οβ. The length of the hypotenuse is
Answer Choices:
A. 34β
B. 23β
C. 535ββ
D. 325ββ
E. not uniquely determined by the given information
Solution:
Applying the Pythagorean theorem to β³CDF and β³CEG in the adjoining figure yields
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