In a right triangle ABC in which ∠B=90∘, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the cirlle at P bisects BC.

In a right triangle ABC in which ∠B=90∘, a circle is drawn with AB

1.	In a right triangle ABC in which ∠B=90∘, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the cirlle at P bisects BC.
Answer» In a right triangle ABC in which $∠ B = 90^{\circ}$ , a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the cirlle at P bisects BC.

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In a right triangle ABC in which ∠B=90∘, a circle is drawn with AB as diameter intersecting the hypotenuse AC at P. Prove that the tangent to the cirlle at P bisects BC.

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