AD ,B Ea n dC F\nare ac ABC এর মধ্যক ,\nতারপর (AD^2+BE^2+CF^2):(BC^2+CA^2+AB^...

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

In Figure -6 , in an equilateral triangle ABC, AD is perpendicular to BC , BE is perpendicular to AC and CF is perpendicular to AB . Prove that 4 (AD^2 +BE^2 +CF^2)=9AB^2

ABC is a given triangle. AD, BE and CF are altitudes of DeltaABC . Assertion (A) : (AB^(2)+BC^(2)+CA^(2)) gt (AD^(2)+BE^(2)+CF^(2)) Reason (R) : (AE^(2)-AF^(2))+(BF^(2)-BD^(2))+(CD^(2)-CE^(2))=0

AD BE and CF are the medians of a Delta ABC .Prove that 2(AD+BE+CF)<3(AB+BC+CA)<4(AD+BE+CF)

In fig. /_B of /_\ABC is an acute angle and AD _|_ BC ; prove that AC^2 = AB^2 + BC^2 - 2 BC xx BD

The following figure shows a triangle ABC in which AD is a median and AE bot BC . Prove that 2AB^(2)+ 2AC^(2) = 4AD^(2) + BC^(2) .

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, /_ B is an acute-angle and AD bot BC . Prove that: AB^2 + CD^2 = AC^2 + BD^2