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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

Through D, Draw DK||BN.In triangleADK, M is the mid-point of AD and MN||DK.Therefore, N is the mid-point of AK.Hence, AN=NK.............(i)In triangleBCN, D is the mid-point of BC and BN||DK.Therefore, K is the mid-point of NC.Hence, KC=NK.............(ii)From (i) and (ii),AN=NK=KC..............(iii)Now, AC=AN+NK+KCAC=AN+AN+ANAC=3ANtherefore, AN=1/3AC.

Ito prove 1/3AC=AN given AD is median of trng ABC,M is m.p of AD cont DRAW a DF II BM Produce to E proof- In trng BCE D is m.p of BC, DF II BE [ by m.p.t] F is m.p of CE so, FE= FC - 1 now, trng ADC M is m.p of AD ME II DF [by m.p.t] E is m.p of AF so , AE=EF -2 BY 1 and 2 AE = EF= FC SO .AN=1/3 AC