perplexus.info :: Geometry : Is this circular billiards?

Is this circular billiards? (Posted on 2019-03-18)

Circle O has a radius of 3 units. Points A and B are inside the circle such that AO=1 unit, BO=2 unit, and angle AOB=60 degrees.

CDE is an isosceles triangle inscribed in circle O with CD=DE, point A on CD and point B on DE.

How long are the sides of CDE?

No Solution Yet Submitted by Brian Smith

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re: Geometer's Sketchpad approximation

| Comment 2 of 4 |

(In reply to Geometer's Sketchpad approximation by Charlie)

There appears to be a second solution as well. You put D on the outside of angle AOB, but it can also be on the inside.

In this case, the equal sides are about 5.70454 and the base about 3.53613

I have my doubts about those closed forms but will work on a closed solution.

Posted by Jer on 2019-03-18 18:29:58

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