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July 28th, 2013, 01:18 AM   #1
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Similarity and possibly algebra oriented geometry question.

Hello, I would appreciate some help with the following question please.

In the diagram,

XP = 1/2 PQ,

QY = 1/3 PQ and

XR = 2/5 XZ.

Find the ratio of the area of triangle QRZ to the area of triangle QYZ.

The drawing is not drawn to scale.


I have attached a picture of the diagram.

Thanks for taking the time to respond!
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File Type: png Math q.png (18.0 KB, 164 views)
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July 28th, 2013, 12:42 PM   #2
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Re: Similarity and possibly algebra oriented geometry questi

Let , , and angle YXZ=.
Then , , and .

Area of triangle QRZ is and area of triangle . Let's express area of those triangles over m and n.













Finally
Thanks from ErumFawwad
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July 28th, 2013, 12:46 PM   #3
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Re: Similarity and possibly algebra oriented geometry questi

Since I can't edit my post , I meant
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July 28th, 2013, 12:55 PM   #4
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Re: Similarity and possibly algebra oriented geometry questi

Quote:
Originally Posted by crom
It's, not , so the final score is little different.
Really sorry for three posts in a row (if needed let admins deleted).
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July 28th, 2013, 03:00 PM   #5
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It's simplest to post the entire corrected post, then ask a moderator to delete the inaccurate ones (if nobody has replied to them). Triangles with the same height have areas in proportion to the corresponding bases.

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Last edited by skipjack; April 30th, 2014 at 12:10 AM.
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July 28th, 2013, 04:03 PM   #6
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Re: Similarity and possibly algebra oriented geometry questi

Okay, I'll keep that in mind.
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July 28th, 2013, 10:33 PM   #7
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Re: Similarity and possibly algebra oriented geometry questi

Thanks for quick and detailed responses! It has helped clarify my problem.
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April 21st, 2014, 07:42 AM   #8
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RE:Help

How to solve this problem without using trigonometry?
How did skipjack arrived at his/her answer for the areas of the triangle?
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April 21st, 2014, 07:43 AM   #9
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How did you arrive at the areas of each triangle?
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April 21st, 2014, 11:56 AM   #10
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It would be easier if you started your own thread,
and ask your own question; hijacking an inactive
thread (as you did) is a good way for your post to
be missed...
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