Log in to add a comment

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

No it is not

AB + AC > 2 AD

Construct a parallelogram from ΔABC by drawing CE parallel to AB and BE parallel to AC. Now extend AD to join E. AE is the diagonal and we know in a parallelogram the diagonals bisect each other.

Since AEC is a triangle, sum of two sides is more than the third side

AC + CE > AE, CE = AB and AE = 2 AD

**AC + AB > 2 AD**

hence the result

AB + AC > 2 AD

Construct a parallelogram from ΔABC by drawing CE parallel to AB and BE parallel to AC. Now extend AD to join E. AE is the diagonal and we know in a parallelogram the diagonals bisect each other.

Since AEC is a triangle, sum of two sides is more than the third side

AC + CE > AE, CE = AB and AE = 2 AD

hence the result