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MathNet 2012 Question 98

Math Olympiad Vault · MathNet 2012

Question 98

Let $ABC$ be an isosceles triangle with base $BC$, and let $D$ be the midpoint of $AC$. Given that $BCD$ is also isosceles, with base $CD$, and that $BC=2$, what is the area of $ABC$?
(A) 2 (B) $\sqrt5$ (C) $\sqrt6$ (D) $\sqrt7$ (E) 3.