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A calculus I test question.

  1. Oct 12, 2004 #1
    I recently had a calculus midterm, but was baffled at how to even start this question. Can anyone point me in the direction to start it? It deals with the maximum/minimum section using differentiation.

    What is the maximum area of a rectangle inscribed within a triangle with sides 12, 16 and 20?
     
  2. jcsd
  3. Oct 12, 2004 #2
  4. Oct 12, 2004 #3
    That is so ironic, I go to Georgia Tech. Everyone here is always bashing UGA about being a school of dumb people. I appreciate it, but I was hoping for a more direct help, such as the set up for the equation. I know A = bh, but what do I take the deritive with respect to?
     
    Last edited: Oct 12, 2004
  5. Oct 12, 2004 #4
    begin by drawing a picture. center the triangle on the xy plane. draw an arbitary inscribed rectangle and label the point where the triangle and rectangle meet as (x,y). you should also have a symmetric point labeled (-x,y). find relationship between y and x (using the length of the 3 sides of the triangle). express the area for the rect in terms of x, differentiate, set to zero, and solve.
     
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