If AD, BE and CF are medians of triangle ABC Prove that: 3(AB^2+ BC^2+ CA^2)= 4(AD^2 +CF^2+ BE^2) - Maths - Triangles

Question

If AD, BE and CF are medians of triangle ABC Prove that:
3(AB^2+ BC^2+ CA^2)= 4(AD^2 +CF^2+ BE^2)?
Please explain how these medians are also altitude if the triangle
as it is mentioned only median in question?

Sucheta Priyadarsini Sahu · Accepted Answer

Regarding the second part of your question, please note that
medians are not altitudes

Regards,

If AD, BE and CF are medians of triangle ABC. Prove that: 3(AB^2+ BC^2+ CA^2)= 4(AD^2 +CF^2+ BE^2)? Please explain how these medians are also altitude if the triangle as it is mentioned only median in question?

If AD, BE and CF are medians of triangle ABC. Prove that:
3(AB^2+ BC^2+ CA^2)= 4(AD^2 +CF^2+ BE^2)?
Please explain how these medians are also altitude if the triangle as it is mentioned only median in question?