Question

if D is the mid point of the hypotenuse AC of a right triangle ABC, Prove that BD = ½ AC

Answer 1

To proof :- BD = 1/2 AC

Proof:- D is the centre of the circle passing through A, B & C

=> AD = BD = CD ( being radii of the same circle)

Or 2AD = 2BD

AC = 2BD

BD = AC/2

hope it helps!!