What is the area of triangle CDE?

Quadrilateral ABCD is inscribed in a circle. The length of AD is 3, the lengths of AB and BC are 2, and angle BAD is 60 degrees. If AD and BC are extended and the point where they intersect is E, what is the area of triangle CDE? #sat #act #math #The Law of cosines

[@henrydgeyser1869]

WADR, the thumbnail shows that the shaded area to solve for is not that of a triangle but instead a closed figure bounded by two straight lines (CE & DE) and the smaller arc of the circle between points C & D, and whose solution would have been even more interesting.

[@SATMathPrepLTP]

Thank you for letting me know the mistake. I just changed the thumbnail. Have a great day!!

[@motogee3796]

Good one too a while to solve. I took similar triangles ACE and BDE and used sine rule in triangle CDE since sine and cos of angle CDE are known.

[@SATMathPrepLTP]

Thank you for watching the video. I really appreciate that. Have a wonderful day!!

[@DhdhBdhx-m4z]

Sancs