Equal Median and Side
Source:
January 2, 2009
geometryparallelogramtrigonometry
Problem Statement
In , we have AB\equal{}1 and AC\equal{}2. Side and the median from to have the same length. What is ?
(A)\ \frac{1\plus{}\sqrt2}{2} \qquad
(B)\ \frac{1\plus{}\sqrt3}{2} \qquad
(C)\ \sqrt2 \qquad
(D)\ \frac{3}{2} \qquad
(E)\ \sqrt3