in △ ABC. prove that AB+BC+CA>2AB

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In triangle ABC prove AB+BC+CA >2AB

△ A B C

cot A cot B + cot B cot C + cot C cot A = 1

. O is any point in the interior of a triangle ABC. Prove that

1. AB + AC > OB + OC

2.AB + BC + CA > OA + OB + OC

3.OA + OB + OC > 1/2(AB + AC + BC)

If $O$ is a point within triangle $A B C$ , show that,

If $A M$ is median of $A B C$ . Prove that $(A B + B C + C A) > 2 A M$ .

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