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CBSE Class 9 Answered

ABC is a triangle right angled at C. A line through mid-point M of hypotenuse AB and parallel to BC intersects AC at D. Show that (i) D is mid-point of AC (ii) MD AC (iii) CM = MA = AB
Asked by Topperlearning User | 10 Dec, 2013, 01:48: AM
answered-by-expert Expert Answer

(i) AM = BM, MD||BC (given)

AD = CD (Mid-point theorem)

Hence, D is mid-point of AC.

(ii) 1 = 2 = 90o (Corresponding angles)

MD AC

(iii) ADM = MDC = 90o

AD = CD

MD = MD

(by SAS)

CM = AM

But AM =

Hence, CM = AM =

Answered by | 10 Dec, 2013, 03:48: AM
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