Question

7. 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
@ Dis the mid-point of AC
(ii) MD LAC
(ii) CM = MA= -AB​

Answer 1

Step-by-step explanation:

since MD||BC

<MDA=<BCA

(corresponding angles)

=90°

therefore MD|AC

in tringles MDC and. MDA

DC=DA

<MDC=<MDA

MD=MD

Hence congruent by SAS

CM=MA (CPCT)

Since AM=1/2AB

CM=MA=1/2AB