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Geometry

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Geometry

by VenugopalGurram » Wed Dec 12, 2012 1:42 am
What are the lengths of sides sides NO and OP in the triangle NOP below?
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by Jim@StratusPrep » Wed Dec 12, 2012 8:27 am
These are similar triangles so NO/24 = 50/40, making NO 30 and then OP 50 because it is a multiple of a 3-4-5 triangle.
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by ramv_fl » Tue Apr 30, 2013 11:59 am
Jim@StratusPrep wrote:These are similar triangles so NO/24 = 50/40, making NO 30 and then OP 50 because it is a multiple of a 3-4-5 triangle.
If NP=50, how can OP be 50 and be a 3-4-5?
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by srcc25anu » Tue Apr 30, 2013 12:17 pm
They are similar traingles but their sides are NOT in the ratio of 3:4:5

40 / 50 = 24 / NO
NO = 30

OP = root(50^2 + 30^2)
OP = 10 root(34)
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by Jim@StratusPrep » Mon May 13, 2013 8:41 am
Yeah, looks like I rushed that one... Point is they are similar triangles...
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by ceilidh.erickson » Fri May 17, 2013 9:15 am
Actually, unless we're given that angle ONP is a right angle, we can't actually prove that these are similar triangles, and thus the question is unsolvable. These triangles are similar only if we can prove that they have all equal angles. Just be sure to include all given information next time!
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