Geometry Similarity Question: nested similiar triangles, 2 pairs of par. lines, and

Kiratani

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Apr 5, 2017
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Geometry.pngI found this in a textbook. I don't know how to solve it. Can someone please solve this?
Thanks
 
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I found this in a textbook. I don't know how to solve it. Can someone please solve this?
Sure, we could solve this. But that serve only to provide another worked example, just like all the other worked examples in that textbook. Instead, let's help you learn how to do this, using what you know.

Let's start at the beginning: They've given you at least one useful rule about similar triangles. (here) What have you done with this information, especially with finding the lengths of AC, DE, CB, and EB?

Please be complete. Thank you! ;)
 
Sure, we could solve this. But that serve only to provide another worked example, just like all the other worked examples in that textbook. Instead, let's help you learn how to do this, using what you know.

Let's start at the beginning: They've given you at least one useful rule about similar triangles. (here) What have you done with this information, especially with finding the lengths of AC, DE, CB, and EB?

Please be complete. Thank you! ;)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/forum/announcement.php?f=33
Hi, thanks for replying. So far, I've only proved triangle ABC and triangle DBE similar (equiangular) and also triangle DBC and triangle FBE similar (equiangular). I've also go that AB/DB is 3/2. I'm not sure if I am on the right track and I don't know what to do next. Can I please have some advice? :) Thanks
 
Hi, thanks for replying. So far, I've only proved triangle ABC and triangle DBE similar (equiangular) and also triangle DBC and triangle FBE similar (equiangular). I've also go that AB/DB is 3/2. I'm not sure if I am on the right track and I don't know what to do next. Can I please have some advice?
Try following the advice that you've already been given about similar triangles and the ratios and proportions that you can create. The link provided earlier has loads of helpful info and worked examples. ;)
 
Try following the advice that you've already been given about similar triangles and the ratios and proportions that you can create. The link provided earlier has loads of helpful info and worked examples. ;)
Oh haha I've realised how stupid I was. Thank you so much. I've found the answer (hopefully I'm right - 20/3). Thanks again :):)
 
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