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12.Consider triangle ABC where AD is median
The diagram is attached below
We will be using the property of triangle which says SUM OF TWO SIDES OF TRAINGLE IS ALWAYS GRATER THAN THIRD SIDE.
Considering triangle ABD
Using above property of triangle related to relation between sum of two sides and third side we can say that
AB + BD > AD --------(1)
Considering triangle ACD
Using above property of triangle related to relation between sum of two sides and third side we can say that
AC + DC > AD --------(2)
On adding equation (1) and (2) , we get
(AB + BD) + ( AC + DC ) > AD + AD
=> AB + ( BD + DC ) + AC > 2AD
=> AB + BC + CA > 2AD
13. P=116cm
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