Question

ABC is a triangle right angle at C. a line through the mid point M of hypotenuses AB and parallel to BC intersects AC at D show that D is the mid point of AC

Answer 1

Given
MD || BC
and M is the mid point of AB and through M a line intersects AC at D
using the converse of Mid point theorem
D is the mid point of AC
Hence proved

Answer 2

the answer is given in the image that i have pasted