MathDB
Triangle

Source: AMC 2002 10A #23

February 11, 2008
geometryperimeterAMC

Problem Statement

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