CIRCLE geometry: Two circles intersect at points A and B....

[owenthakkar]

Two circles intersect at points A and B. A common tangent touches the first circle at point C and the second point at D. Let B be inside the triangle ACD. Let the line CB intersect the second circle again at point E. Prove that AD bisects the angle CAE.

Any help would be awesome :lol:

Thank you!

 

[TchrWill]

Re: CIRCLE geometry: Two circles intersect at points A and B

Two circles intersect at points A and B. A common tangent touches the first circle at point C and the second point at D. Let B be inside the triangle ACD. Let the line CB intersect the second circle again at point E. Prove that AD bisects the angle CAE.

You need some clarification of your description.

Two circles intersect at A and B, A on top. Okay

A common tangent touches the first circle at point C and the secind circlw at point D. Is the tangent on top or the bottom.

Let point B be inside trangle ACD. B is on the other side of triangle ACD, the lower intersection of the two circles.

Let line CB intercect the second circle at point D. Okay if the tangent is on the bottom.

Prove that AD bisects angle CAE. Makes no sence.

Please clarify your geometric points.