2012 AIME II Problems/Problem 13

Problem 13

Equilateral $\triangle ABC$ has side length $\sqrt{111}$ . There are four distinct triangles $AD_1E_1$ , $AD_1E_2$ , $AD_2E_3$ , and $AD_2E_4$ , each congruent to $\triangle ABC$ , with $BD_1 = BD_2 = \sqrt{11}$ . Find $\sum_{k=1}^4(CE_k)^2$ .

Solution

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2012 AIME II (Problems • Answer Key • Resources)
Preceded by Problem 12	Followed by Problem 14
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2012 AIME II Problems/Problem 13

Problem 13

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