Two Intersecting Circles
- Author:
- MathBing
- Topic:
- Angles, Circle, Geometry, Right Triangles, Similar Triangles, Triangles
The two circles intersect at points C and D.
Points A and B are placed each on one of the circles such that A, B, and C are collinear.
** Moving the red dot will change the positions of points A and B.
1. Do the dimensions of triangle ABD (side lengths and angle measures) change when points A and B change their positions?
2. Where do points A and B have to be placed for the length of AB to be maximum?
3. What is the measure of angle ACD when segment AB is at its maximum length?