"Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side."
This question is from Mathematics NCERT Exemplar Class 9, exercise 7.4 , question number 10
In this question I only able to solve : AB + AC > 2AD, If ABC is a triangle and D is a point on BC such that AD is the median .
I tried a lot but , but I didn't able to prove: AB + BC > 2AD and BC + AC > 2AD
https://byjus.com/ncert-exemplar-class-9-maths-chapter-7-triangles/
https://www.mathongo.com/ncert-exemplar/ncert-exemplar-for-class-9-maths-chapter-7
These websites and many other websites also proved: AB + AC > 2AD and say similarly you can prove : AB + BC > 2AD and BC + AC > 2AD
But I didn't able to solve these problems.