(Angle AEB = 2x = angle ABC, Angle ABE = angle ACB = x)

therefore,

AB/AE=BC/EB = AC/AB

so, AB/AE = BC/EC (given EB=EC)

AB =BC.AE/EC ...(1)

By intercept theorem:

DM/MC = AE/EC ...(2)

subst (2) in (1):

AB = BC.DM/MC

DM = AB.MC/BC = AB/2

cheers.

]]>a negative answer indicates a decrease right?

]]>a negative answer indicates a decrease

]]>