SOLUTION: 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

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!
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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).

-------------

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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