Points A,B,C, and D lie on a line, in that order, with AB=CD and BC=12. Point E is not on the line, and BE=CE=10. The perimeter of triangle AED is twice the perimeter of triangle BEC. Find AB.
(A) 15/2 (B) 8 (C) 17/2 (D) 9 (E) 19/2
ANSWER: D
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Points A,B,C, and D lie on a line, in that order, with AB=CD and BC=12. Point E is not on the line, and BE=CE=10. The perimeter of triangle AED is twice the perimeter of triangle BEC. Find AB.
(A) 15/2 (B) 8 (C) 17/2 (D) 9 (E) 19/2
ANSWER: D