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A set of the proportion that will find the missing side of the following pair of similar triangles

A set of the proportion that will find the missing side of the following pair of similar-example-1
User Bastien Jansen
by
3.2k points

1 Answer

21 votes
21 votes

From the information given, triangle ABC is similar to triangle DEC

This means that

AB/DE = BC/EC = AC/DC

Given that AB = 3, BC = 4 and CE = 14, it means that

3/DE = 4/14

By cross multiplying, it becomes

3 * 14 = 4 * DE

42 = 4DE

DE = 42/4

DE = 10.5

User Mohit Chandel
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3.3k points