SOLUTION: △CDE ~ △CBA with ∠CDE ≅ ∠B. If CD = 10, CA = 18, and EB = 11, find CE.

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Question 1193614: △CDE ~ △CBA with ∠CDE ≅ ∠B.
If CD = 10, CA = 18, and EB = 11, find CE.

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
△CDE ~ △CBA with ∠CDE ≅ ∠B.
If , , and , find.

similar triangles have proportional corresponding sides



Since , , , , then :



cross-multiplying:





or
disregard negative solution for the length
so,



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