The isosceles triangle ABC is inscribed in a circle with centre at O. If AP is a diameter of the circle. Then prove that AP is the bisetors of `angle BPC`.

The isosceles triangle ABC is inscribed in the circle with centre at O.If AP be a diamtere passing through A, then show that AP is internal bisector of angle BPC .

The given figure shows an isosceles triangle ABC inscribed in a circle such that AB=AC. If DAE is a tangent to the circle at point A, prove that DE is parallel to BC.

A ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.

A ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.

Delta ABC is inscribed in a circle with centre O and line AP is a tangent at the point A. Ray AF is the bisector of /_ BAC Prove that seg AP ~= seg PE.

True/False: An equilateral triangle ABC is inscribed in a circle with centre O. The measure of angleBOC is 60^@

In the given figure, an equilateral triangle ABC is inscribed in a circle with centre O. Find : angleOBC

In the given figure, an equilateral triangle ABC is inscribed in a circle with centre O. Find : angleBOC

Triangle ABC is inscribed in a circle, such that AC is a diameter of the circle and angle BAC is 45^@ . If the area of triangle ABC is 72 square units, how larger is the area of the circle than the area of triangle ABC ?