In A Delta ABC , (AD), (BE) and (CF) ar...

In A ` Delta ABC , (AD), (BE) and (CF)` are three medians then the ratio
` ( (AD)^2 + (BE)^2 + (CF)^2 )`: `( (AB)^2+ (AC)^2 + (BC)^2)` is

A

equal to `(3)/(4)`

B

less than `(3)/(4)`

C

greater than `(3)/(4)`

D

equal to `(1)/(2)`

AI Generated Solution

Similar Questions

Explore conceptually related problems

In A Delta ABC , AD ,BE and CF are three medians . The perimeter of Delta ABC is always

In a Delta ABC,AD,BE and CF are three medians. The perimeter of Delta ABC is always.

If AD, BE and CF are the medians of a Delta ABC, then evaluate (AD^(2)+BE^(2)+CF^(2)): (BC^(2) +CA^(2) +AB^(2)).

If AD , BE and CF are medians of DeltaABC , then bar(AD) + bar(BE) + bar(CF) =

If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2)):(BC^(2)+CA^(2)+AB^(2)) is equal to

If AD, BE and CF be the median of a /_\ABC , prove that vec(AD)+vec(BE)+vec(CF) =0

In the given Delta ABC, bar(AD), bar(BE) and bar(CF) are the medians. G is centroid. What is the ratio of the area of Delta BGD and Delta GCE ?

In right angled DeltaBAC,/_BAC=90^(@) ,segments AD, BE and CF are medians.Prove that 2(AD^(2)+BE^(2)+CF^(2))=3BC^(2)

In triangle ABC, AD, BE and CF are altitudes. Prove I, that, AD + BE + CF lt AB + BC + CA

In a Delta ABC median BE and CF intersect at O ratio of area of (OFE)/(ABC) = ?