If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side

If circles are drawn taking two sides of a triangle as diameters,prove that the pooint of intersection of these circles lie on the third side

If circles are drawn taking two sides of a triangle as diameters,prove that the pooint of intersection of these circles lie on the third side

If two circles are drawn taking any two sides to the triangle as diameter then prove that point of intersection of two circles lies on the third side.

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

Prove that the circle drawn with any side of a rhombus as a diameter,posses through the point of intersection of its diagonals.

Exemplar Questions||Discussion OF Ex.-10.5|| Taking two side OF triangle as a diameter drawn two circle then their point OF intersection always lies on third side OF triangle

Two circles are drawn with sides AB,AC of a triangle ABC as diameters.The circles intersect at a point D. Prove that D lies on BC.

Prove that any two sides of a triangle are together greater than twice the median drawn to the third side.

Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

Consider the following statements : 1. The point of intersection of the perpendicular bisectors of the sides of a triangle may lie outside the triangle. 2. The point of intersection of the perpendiculars drawn from the vertices to the opposite sides of a triangle may lie on two sides. Which of the above statements is/are correct ?