8.(iv) In right triangle ABC, right angled at C, M is the mid-point of hypotenuse AB. C is joined to M and produced to a point D such that . Point D is joined to point B (see Fig.). Show that:
(iv)
In the previous part we have proved that .
Thus by c.p.c.t., we can write :
or (Since M is midpoint.)
or .
Hence proved.