Triangle ABC is an isosceles triangle with =. Point D is the midpoint of both and , and is 11 units long. Triangle ABD is congruent to triangle ECD. What is the length of ?

AMC 8 2006 Problem 19

AMC8 2006 年第 19 题

三角形★★★☆☆

Triangle ABC is an isosceles triangle with \overlineAB=\overlineBC. Point D is the midpoint of both \overlineBC and \overlineAE, and \overlineCE is 11 units long. Triangle ABD is congruent to triangle ECD. What is the length of \overlineBD?

三角形 ABC 是个等腰三角形，。点 D 是线段的中点，同时也是线段的中点。线段长度为 11 个单位。三角形 ABD 和三角形 ECD 全等的，则的长度是多少？

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