D is a point

Asked by sonali221994 | 5th Feb, 2010, 01:48: PM

Expert Answer:

In quadrilateral, NDMB,

BND = 90, NBM = 90, BMD = 90, and hence MDN = 90,

It could be a square or rectangle,

Hence DN = BM, DM = NB,

BDC, using Pythagorus's theorem,

DB2 + DC2 = BC2

DB2 + DC2 = (BM+MC)2

DB2 + DC2 = (DN+MC)2

DB2 + DC2 = DN2 + MC2 +2DN MC

DB2 - DN2 + DC2 - MC2 = 2DN MC

DM2 + DM2 = 2DN MC

DM2 = DN.MC

Regards,

Team,

TopperLearning.

Answered by  | 7th Feb, 2010, 11:09: AM

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