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Geometry problem

  1. Feb 28, 2008 #1
    A circle has a radius of 5 and the circle is circumscribed around an isosceles triangle. If the length of the altitude to the base of the triangle is 9, what is the area of the triangle?

    I tried to figure out the two equal sides of the triangle by using the law of sines but you cannot assume that you have two 45 degree angles and a 90 degree angle in the two triangles split apart by the altitude. I feel like I need to know one of the angles to solve this problem.
  2. jcsd
  3. Feb 28, 2008 #2
    Consider the radii of the circle and how they interact with the height of the triangle and the vertices.
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