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Sol: O is an external point for a triangle ABC. Consider ΔOAB OA + OB > AB ------------- (1) [Sum of any two sides of a triangle is greater than the third side] Consider ΔOBC OB + OC > BC ------------- (2) [Sum of any two sides of a triangle is greater than the third side] Consider ΔOAC OA + OC > CA ------------- (3) [Sum of any two sides of a triangle is greater than the third side] By adding equations (1), (2) and (3), we get OA + OB + OB + OC + OA + OC > AB + BC + CA 2(OA + OB + OC) > (AB + BC + CA) Hence proved
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i don't know hahahahaga
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