Question

6. In the following figure, if D is the mid-point of the hypotenuse AC of a right angled triangle ABC, prove that BD = 1/2 AC. with prove​

Answer 1

Answer:

we can say that in a circle, if we draw its diameter as hypotenuse of a right angled triangle 3rd vertex will meet on the circle and its angle is 90

and here this vertex is B

and midpoint of hypotenuse is the centre of the circle here.so BD is radius of the circle.

half of hypotenuse is also radius

so full length of hyptenuse=BD×2

=AC=BD×2

=AC/2=BD