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1 O is any point in the interior of ΔABC. Then prove that- i) AB AC> OB OC.
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1 O is any point in the interior of ΔABC. Then prove that- i) AB AC&...
Construction: Produce BO to meet AC in D.


Proof:
In ΔABD, AB + AD > BD
⇒ AB + AD > BO + OD ----------------- (1)

In ΔOCD, CD + DO > OC -------------- (2)
[Sum of any two sides must be greater than the third side.]

Adding equations (1) and (2), we get
AB + AD + CD + DO > BO + OD + OC
⇒ AB + AC + DO > BO + OD + OC
⇒ AB + AC > OB + OC

Hence proved.
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1 O is any point in the interior of ΔABC. Then prove that- i) AB AC> OB OC.
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