Question

In triangle ABC,AD is median.show that AB+BC+AC >2AD.

Answer 1

Answer:

BD=CD

Angle ABD = Angle ACD

We know that,

Sum of 2 sides of a triangle is always greater than the third side.

So,

1. AB+BD > AD

2. AC+CD > AC

3. AB+BD+CA+CD > 2AD

SO, AB+BC+CA > 2AD

Hence, Proved.

Hope this helps:)