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March 25, 2017

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AB and AD are tangents of the circle with the center at C. The measure of BDC = 45o, and the circle has a diameter of 4. Which is the length of AB?

  • geometry - ,

    Tricky little question.
    On my second attempt at the diagram I realized that in triangle BDC , the central angle had to be 90°
    So the diagram really just consists of a square with sides 2.
    So without any further calculations because of the properties of a square

    AB = 2

    The key lies in a proper diagram.

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