In a right triangle ABC in which `angle B = 90^@`, a circle is drawn with AB as diameter intersecting the hypotenuse AC and P. prove that the tangent to the circle at P bisects BC.

In a right angle triangle Delta ABC is which /_B=90^(@) a circle is drawn with AB diameter intersecting the hypotenuse AC at P.Prove that the tangent to the circle at PQ bisects BC.

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

In Delta ABC, AB = AC. A circle is drawn with diameter AB and it intersects BC at D. Prove that D is the midpoint of BC.

DeltaABC is a right triangle which is right angled at C. A circle is drawn taking AB as a diameter. AC is extended to point P. BP meet semicircle at D, then AB^(2) =

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 a right-angled triangle ABC, if angle B = 90° , BC = 3 cm and AC = 5 cm, then the length of side AB is

If a circle is inscribed in right angled triangle ABC with right angle at B, show that the diameter of the circle is equal to AB+BC-AC.

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.

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.Given: A ABC in which AB=AC and a circle is drawn by taking AB as diameter which intersects the side BC of triangle at D To Prove: BD=DC Construction : Join AD