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A question in finding maximal area

  1. Jan 23, 2008 #1

    i showed in the link my problem

    i need to find the x and y values for which we have the largest area of the
    rectangle (which is trapped in the triangle)

    i dont know how to build a strandart function for the area

    for which
    to make a derivative and find the extreme points
    and then find the maximal area of this rectangle.

    how do i find the area function of the rectangle
  2. jcsd
  3. Jan 23, 2008 #2


    User Avatar
    Staff Emeritus
    Science Advisor

    Use "similar triangles". The small right triangle above "x" is similar to the original right triangle. The ratio of x to the hypotnuse of the original triangle is equal to the ratio of h- y to h, where h is the height of the original triangle.
  4. Jan 23, 2008 #3
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