Question 7
The diagonals of quadrilateral $KITE$ are perpendicular. Given $KI=5$, $IT=3\sqrt5$, $ET=10$, and the distance from $K$ to the intersection of the diagonals is $4$, find its area.
Source clarification: the question paper calls the shape a kite, but its lengths are incompatible with that classification. As in the supplied solution, use a quadrilateral with perpendicular diagonals.
Source clarification: the question paper calls the shape a kite, but its lengths are incompatible with that classification. As in the supplied solution, use a quadrilateral with perpendicular diagonals.