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smc

geometry senior

Problem

A triangle has area , one side of length , and the median to that side of length . Let be the acute angle formed by that side and the median. What is ?
(A)
(B)
(C)
(D)
Solution
is the side of length , and is the median of length . The altitude of to is because the 0.5(altitude)(base)=Area of the triangle. is . To find , just use opposite over hypotenuse with the right triangle . This is equal to .
Final answer
D