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Use Euclid's theorem to prove. if C is the midpoint of AB and D is the midpoint of AC.Prove that AD=1/4 AB. State the Euclid's axiom used in this question. |
 Given C is the midpoint of AB and D is the midpoint of AC. therefore, AB = AC + BC Ac = BC [since C is the midpoint of AB] therefore AB = AC + AC ie., AB = 2AC ............(1) Also, AC = AD + CD AD = CD [since D is the midpoint of AC] therefore AC = AD + AD AC = 2AD ..............(2) Substituting (2) in (1) AB = 2AC = 2[2AD] AB = 4AD ie., AD = 1/4AB Hence proved. |
