Question 1197178: Find the height, in cm of the trapezoid ABCD; AE = 60
https://ibb.co/Bw7RVT7
I have done some work on the diagram.. but need help to progress.
If the image doesn't work, here is a google drive link:
https://drive.google.com/file/d/16IYwPR-tcwWfDyrCfYOYFSR7gjQZGb7p/view?usp=sharing
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Find the height, in cm of the trapezoid ABCD; AE = 60
https://ibb.co/Bw7RVT7
I have done some work on the diagram, but need help to progress.
If the image doesn't work, here is a google drive link:
https://drive.google.com/file/d/16IYwPR-tcwWfDyrCfYOYFSR7gjQZGb7p/view?usp=sharing
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(1) Triangles ACD and BCF are similar. From similarity, you can find the length of CF and BF.
So, I will assume that you just found them and know them.
(2) The area of the right-angled triangle ACD is  = 4320.
You can find its height H drawn from vertex C on side AD
area 4320 =  , H =  =
(3) Since you just know CF and BF (see n.1 above),
you can find the area of the right-angled triangle BCF,
and after that you can find the altitude h of this triangle drawn from point C to its side BF.
(4) After that, the height of the trapezoid ABCD is the sum (H + h).
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So, you have complete instructions on how to solve the problem from the beginning to the very end.
Happy solving (!)
You can report me about your progress.
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Comment from student : Dear Ms.Ikleyn, I have figured it out, and the answer is a part of my multiple choices for homework!! I got: 59 8/13
My response : I am glad to hear it from you ( ! )
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