Suppose points A, B, C are all on a circle and we have a point P outside the circle such that the line that passes through A and P is a tangent to the circle ( at A ) the line that passes through B and P is a tangent to the circle ( at B) also the line segments PA and BC are parallel. Suppose |AP| = 3 and |BC| = 2
What is |AC| ?
Background level of mathematics required: high-school
Difficulty level: by high-school standards it is a bit tricky.
In a while I'll post the answer ...