# trapezoid

• March 18th 2009, 04:34 PM
perash
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.
• March 19th 2009, 01:45 AM
earboth
Quote:

Originally Posted by perash
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.