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(i) D is the mid-point of AC(ii) MD⊥AC(iii) CM=AM=12AB
Answer» 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 (i) D is the mid-point of AC (ii) $M D ⊥ A C$ (iii) $C M = A M = \frac{1}{2} A B$

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(i) D is the mid-point of AC(ii) MD⊥AC(iii) CM=AM=12AB

Answer»

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

(i) D is the mid-point of AC

(ii) $M D ⊥ A C$

(iii) $C M = A M = \frac{1}{2} A B$