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Homework Help: Optimization problem with trig

  1. Apr 20, 2012 #1
    1. The problem statement, all variables and given/known data

    An isosceles triangle has a rectangle inside of it with length 2 cm and width 6 cm. What angle ∅ will give the triangle the minimum area.

    2. Relevant equations

    A =1/2 (bh)

    3. The attempt at a solution
    Last edited: Apr 21, 2012
  2. jcsd
  3. Apr 20, 2012 #2


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    Gold Member

    In your solution, what does x represent?
  4. Apr 20, 2012 #3
    In my solution x represents the space which the rectangle does not cover.
    Since the width of the rectangle is 6cm, and there are two spaces, The base of the triangle should be 6+2x.
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