Triangle ABC is 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

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

1.	Triangle ABC is 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» Triangle ABC is 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: $C M = M A = \frac{1}{2} A B$