ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that CM=MA=12AB

ABC is a triangle right angled at C. A line through the mid-point M of

1.	ABC is a triangle right angled at C. A line through the mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that CM=MA=12AB
Answer» $A B C$ is a triangle right angled at $C$ . A line through the mid-point $M$ of hypotenuse $A B$ and parallel to $B C$ intersects AC at D. Show that $C M = M A = \frac{1}{2} A B$