In triangle ABC, AD is the median.
Prove that AB+BC+AC> 2 AD
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Step-by-step explanation:
Given, △ABC, AD is median of triangle, on side BC
Now, In △ABD,
AB+BD>AD (Sum of two sides of triangle is greater than the third side)
Now, In △ACD,
AC+CD>AD (Sum of two sides of triangle is greater than the third side)
Thus, adding both,
AB+BD+AC+CD>2AD
AB+AC+BC>2AD
hence proved
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