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
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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