Question 23
Quadrilateral $ABCD$ is inscribed in a circle of radius 2. Its diagonals $AC$ and $BD$ meet at $E$. Given $AE=EC$, $AB=\sqrt2\,AE$ and $BD=2\sqrt3$, find the area of $ABCD$.
The English source says the quadrilateral is “circumscribed by a circle”; the Vietnamese text and diagram specify a quadrilateral inscribed in that circle. This equivalent reading is used here. Give an exact radical answer.
Original source figure, with all mathematical labels retained.
The English source says the quadrilateral is “circumscribed by a circle”; the Vietnamese text and diagram specify a quadrilateral inscribed in that circle. This equivalent reading is used here. Give an exact radical answer.
Original source figure, with all mathematical labels retained.