Difference between revisions of "2005 AMC 10A Problems/Problem 23"
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− | BCDE is a square. Point A is chosen outside of BCDE suck that angle BAC= 120 and AB=AC. Point F is chosen inside BCDE | + | BCDE is a square. Point A is chosen outside of BCDE suck that angle BAC= 120 and AB=AC. Point F is chosen inside BCDE such that the triangles ABC and FCD are congruent. If AF=20, compute the area of BCDE. |
(A)1/6 (B) 1/4 (C) 1/3 (D) 1/2 (E)2/3 | (A)1/6 (B) 1/4 (C) 1/3 (D) 1/2 (E)2/3 |
Revision as of 12:22, 14 February 2007
BCDE is a square. Point A is chosen outside of BCDE suck that angle BAC= 120 and AB=AC. Point F is chosen inside BCDE such that the triangles ABC and FCD are congruent. If AF=20, compute the area of BCDE.
(A)1/6 (B) 1/4 (C) 1/3 (D) 1/2 (E)2/3