SOLUTION: In the rectangle ABCD, what is the distance from point E to point F, in mm? Image: https://imgur.com/a/BhD0Rcc

Question 1199663: In the rectangle ABCD, what is the distance from point E to point F, in mm?
Image: https://imgur.com/a/BhD0Rcc
Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

deleted

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

                        Step by step

(1) The diagonal |BD| = = 25 mm. (2) From the area consideration, you have for the area of the triangle BCD = or 24*7 = 25*|FC|, which gives |FC| = mm. (3) Then from triangle CDF, |FD| = = = = = = 1.96 mm. (4) Thus |FD| = |BE| = 1.96 mm. (5) Hence, |EF| = 25 - 2*1.96 = 21.08 mm = 21 mm = 21 mm. ANSWER

Solved.

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It can be solved in different way, using similarity of triangles.

But in my solution, there are so many nice numbers on the way, that I decided to show you THIS version.

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