10 points if you can answer this math problem

August 28, 2010

Show your work. 20 points gets you a free blog post.

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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4 Responses to “10 points if you can answer this math problem”

  1. Gammidgy Says:

    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).

  2. JR Minkel Says:

    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?

  3. Gammidgy Says:

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

  4. JR Minkel Says:

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


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