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.

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

Sum of any two sides of a triangle is greater than the third side.

Prove that the difference of any two sides of a triangle is less than the third side.

Prove that the difference of any two sides of a triangle is less than the third side.

Difference of any two sides of a triangle is less than to the third side.

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

Sum of any two sides of a triangle is ........... than the third side.

If two equal chords of a circle intersect within the circle, prove that the line joining the point of intersection to the centre makes equal angles with the chord.