Thread: 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.

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

4. Use proportions to calculate AT and BT.

5. Use Sine rule to calculate AP or PB.