
5.2.4.23 Various Problems on the Plane
In the triangle \ (a b c \) with sides \ (a b = 8 \) and \ (a c = 5 \) height \ (a d \). Find the area of the circle described near the triangle, if it is known that one of the distances from the \ (d \) point to the ends of the side \ (b c \) twice as large as the other.