Question

AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2 AD? Give reason for your answer.

Answer 1

Hiii

Here is your answer

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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

Hope it's help you :) ☺☺