MathNet 2019-part-08 — 179 problems (EN–VI) Question 52

Isosceles triangle $A B C$ with $A B = A C$ is inscribed in a unit circle $\Omega$ with center $O$. Point $D$ is the reflection of $C$ across $A B$. Given that $D O = \sqrt{3}$, find the area of triangle $A B C$.