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Question 1189474: In the diagram below, what is the distance from Point E to Point F In meters
Diagram: https://imgur.com/a/1ywHrcW
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!
All four triangles are similar, because they are right triangles which have acute angles that are congruent. So
BF/BC=BC/BD
Given BC=40 and CD=9, we can determine BD=41. Then in similar triangles BFC and BCD
BF/BC=BC/BD
BF/40=40/41
BF=(40/41)*40
That makes FD=(1/41)*40.
Next, BE and FD are the same length, so
EF = (39/41)*40
ANSWER: BF=1560/41
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