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Math Help - Triangle in a circle

  1. #1
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    Triangle in a circle

    Points X, Y, and Z are on the circumference of a circle with radius 2 such that <YXZ = 45 degrees and <XZY = 60 degrees. Find the area of triangle XYZ.
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  2. #2
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    Re: Triangle in a circle

    Hey orange.

    Hint: Draw a diagram and draw lines from the centre of the circle to the vertices of the triangle and use information regarding any new triangles you have formed (taking into account the value of the radius).
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  3. #3
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    Re: Triangle in a circle

    Hi,
    The attachment shows the solution almost completely. However, don't expect such complete solutions in future unless you show what you have tried and where you are stuck.

    Triangle in a circle-mhfgeometry55.png
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  4. #4
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    Re: Triangle in a circle

    Thanks, johng! I did have a very complex solution figured out, but I kept missing essential details and getting lost.
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