`triangleABC` is an isosceles triangle in which AB=AC, circumscribed about a circle. Prove that the base is bisccted by the point of contact.

In the figure, an isosceles triangle ABC with AB=AC circumscribes a circle. Prove that the point of contact P bisects the base BC.

In the fig. traingleABC is an isosceles triangle in which AB=AC and AE bisects angleCAD . Prove that AE||BC

If an isosceles triangle ABC in which AB=AC=6cm is inscribed in a circle of radius 9cm, find the area of the triangle.

triangleABC is an isosceles triangle in which angleC = 90^@ . If AC = 6 cm, then AB is equal___

ABC is isosceles triangle where AB = AC which is circumscribed about a circel. If P is the point where the circle touches the side BC, then which of the following is true?

triangleABC is an isosceles triangle in which AB= AC. Side BA is produced to D such that AD = AB. Show that angleBCD is a right angle.

ABC is an isosceles triangle in which AB = AC. Prove that the tangent to the circum-circle at A is parallel to BC.