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Math Help - trapezoid

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    trapezoid

    ABCD is a trapezoid with AB parallel to CD, AB = 92, BC = 50, CD = 19,
    DA = 70.
    P is a point on the side AB such that a circle center P touches AD and BC. Find AP.
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  2. #2
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    Quote Originally Posted by perash View Post
    ABCD is a trapezoid with AB parallel to CD, AB = 92, BC = 50, CD = 19,
    DA = 70.
    P is a point on the side AB such that a circle center P touches AD and BC. Find AP.
    1. Draw the trapezium.

    2. Complete the trapezium to get a triangle ABT.

    3. P lies on AB and the angle bisector of \angle(ATB)

    4. Use proportions to calculate AT and BT.

    5. Use Sine rule to calculate AP or PB.
    Attached Thumbnails Attached Thumbnails trapezoid-kreis_intrapez.png  
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