In triangle ABC, AD is median Prove that AB2 + AC2 = 2AD2 + 2DC2 - Maths - Triangles

Question

In triangle ABC, AD is median Prove that AB2 +
AC2 = 2AD2 + 2DC2

Lalit Mehra · Answer

Hi!
<img src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a1(1678)%20png"
alt="">
<img width="483" height="263" src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a2(473)%20png"
alt="">
<img src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a3(136)%20png"
alt="">
Cheers!

In triangle ABC, AD is median. Prove that AB2 + AC2 = 2AD2 + 2DC2.

In triangle ABC, AD is median. Prove that AB² + AC² = 2AD²+ 2DC².