SOLUTION: In the diagram below, AGCD is a rectangle and GF=FC. Find the length of FE in cm.
Diagram: https://imgur.com/a/hzXoD2g
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Question 1149198: In the diagram below, AGCD is a rectangle and GF=FC. Find the length of FE in cm.
Diagram: https://imgur.com/a/hzXoD2g
Answer by greenestamps(13214) (Show Source): You can put this solution on YOUR website!
There are undoubtedly many different paths to the solution; here is what I came up with.
AB = AD = 4, so extend DC to H so that ABHD is a square. Extend AF to H, completing diagonal AH of the square. Note triangle FCH is a 45-45-90 right triangle.
Triangles ABE and HCE are similar; because CH = 2 and AB = 4, the ratio of similarity is 1:2. Then
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