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