A circle is inscribed in an isosceles triangle ABC with AB = AC, touching the sides BC, AC and AB at P, Q and R respectively. Prove that the point of contact P bisects the side BC.

The incircle of an isosceles triangle ABC, in which AB = AC, touches the sides BC, CA and AB at D, E and F respectively . Prove that BD = DC.

The incircle of an isoceles triangle ABC, with AB=AC, touches the sides AB,BC and CA at D,E and F respecrively. Prove that E bisects BC.

The incircle of an isosceles triangle ABC , with AB=AC , touches the sides AB , BC , CA at D,E and F respectively. Prove that E bisects BC .

An isosceles triangle ABC, with AB = AC, circumscribes a circle, touching BC at P, AC at Q and AB at R. Prove that the contact point P bisects BC.

In an isosceles triangle ABC with AB=AC , a circle passing through B and C intersects the sides AB and AC at D and E respectively.Prove that DEBC

In an isosceles triangle ABC with AB=AC a circle passing through B and C intersects the sides AB and AC at D and E respectively. Prove that DE|CB.

A circle is inscribed in triangle ABC , touching AB, BC and AC at points P, Q and R respectively. If AB-BC = 4cm, AB-AC = 2cm and the perimeter of triangle ABC = 32cm , then PB+AR is equal to : / एक वृत्त त्रिभुज ABC के भीतर स्थित है जो AB, BC और AC को क्रमशः बिंदु P, Q और R पर स्पर्श करता है | यदि AB-BC =4 सेमी, AB-AC =2 सेमी और त्रिभुज ABC का परिमाप = 32 सेमी है, तो PB+AR का मान ज्ञात करें

A circle is inscribed in a DeltaABC touching AB, BC and AC at P, Q and R respectively. If AB = 10 cm, AR = 7 cm and CR = 5 cm, then find the length of BC.

A circle is inscribed in a triangle ABC. It touches the sides AB and AC at M and N respectively. If O is the centre of the circle and angleA = 70^@ , then what is angleMON equal to ?