Question

In triangle ABC if AD is the median then show that AB2 + AC2 = 2(AD2 + BD2)

Answer 1

In triangle ABC, AD is median

then , BD = BC

in triangles ABD and ADC

AB^2 = AD^2 + BD^2 .........(1)

AC^2 = AD^2 + BC^2 ............(2)

now add both the equations,

AB^2 + AC^2 = AD^2 + AD^2 + BD^2+ BC^2

AB^2 + AC^2 = 2AD^2 + 2BD^2  [ since BD = BC]

AB^2 + AC^2 = 2[AD^2 + BD^2]

hence proved...

Answer 2

Answer:

Step-by-step explanation:

hope this helps. i have no idea why it keeps appearing upside down