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Triangle ABC has coordinates A, B and C equal to (5,3), (19,7) and (17,25), respectively. By how much does the largest slope for any median of the triangle exceed the largest slope for any altitude of the triangle?

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This entry was posted on August 28, 2010 at 7:16 pm and is filed under Uncategorized.

Tags: GRE review, math problems

August 31, 2010 at 7:29 am

Typing up my full proof is a bore, since it’s rather long-winded.

If by “largest” slope you mean that with the greatest magnitude, the answer is a half. (Gradients of 4 versus -3.5).

August 31, 2010 at 8:27 am

Thanks for the attempt. The problem comes from my GRE review book, which takes “largest” to mean “most positive.” How does that affect your answer?

August 31, 2010 at 9:48 am

In that case the answer is 35/36. (4 versus 1/9).

August 31, 2010 at 10:06 am

I think you mean 35/9, which is… correct. 10 points to you!