–1 votes –1 votes In triangle ABC, angle B is a right angle. If AC is 6 cm, and D is the mid-point of side AC, the length of BD is: $4$ cm $6$ cm $3$ cm $3.5$ cm Quantitative Aptitude cat1996 quantitative-aptitude + – makhdoom ghaya asked Jul 16, 2017 • edited 6 hours ago by Counsellor makhdoom ghaya 8.1k points 651 views answer comment Share See all 0 reply Please log in or register to add a comment.
Best answer 1 votes 1 votes By Appollonius theorem, (AB)2 + (BC)2 = 2((AD)2 + (BD)2) AD = 3 since D is the midpoint of AC (AC)2 = 2(32 + (BD)2) ....{ (AB)2 + (BC)2 = (AC)2 using Pythagoras theorem } $\therefore$ 62 = 2(9 + (BD)2) On solving, we get BD = 3. just_bhavana answered Sep 15, 2017 • selected Sep 15, 2017 by Arjun just_bhavana 1.5k points comment Share See all 0 reply Please log in or register to add a comment.