The radical center of the three circles described on the sides of a triangle as diameters is the orthocenter of a triangle.

The orthocenter of the triangle PAB is

The radical centre of three circles described on the three sides 4x-7y+10=0,x+y=5 and 7x+4y=15 of a triangle as diameters is

The point of intersection of the common chords of three circles described on the three sides of a triangle as diameter is

Find the radical centre of three circles described on the three sides 4x-7y+10=0,x+y-5=and7+4y-15=0 of a triangle as diameters.

The radical centre of three circles described on the three sides x+y=5, 2x+y=-9=0 and x-2y+3=0 of a triangle as diameter, is

Two circles are drawn with sides AB and AC of a triangle ABC as diameters

Radical center || Family OF circle

Prove that the area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.