Circle Inscribed in Equilateral Triangle

[YummyNoodles]

A circle of radius 2 is inscribed in equilateral triangle ABC. The altitude from A to BC intersects the circle at a point D not on BC. Let BD intersect the circle at a point E that is distinct from D. Find the length of BE.

 

[Steven G]

You failed to post what trouble you are having? You may need help with finishing the problem so it will be wasted time if I tell you how to start. If you are going to solve your problem you need to tell us what kind of help you need.

I'd start off by drawing a picture.

 

[Dr.Peterson]

You haven't shown us where you need help. Please show what you've done, so we can help. I assume you've at least drawn a picture, including radii to various points.

Now, you should be able to find BD easily, so you need to find DE. It may help to drop a perpendicular from the center of the circle to the midpoint of DE.

 

[YummyNoodles]

Please disregard this thread. I was able to solve the problem on my own.

 

[pka]

Please disregard this thread. I was able to solve the problem on my own.

Well congratulations. Please post your solution so that it may help others.