O' is any point in the interior of a triangle ABC. `OD bot BC`, `OE bot AC` and `OF bot AB`, Show that
`AF^2 + BD^2 + CE^2 = AE^2 + CD^2 + BF^2`.

O' is any point in the interior of a triangle ABC. OD bot BC , OE bot AC and OF bot AB , Show that OA^2 + OB^2 + OC^2 overset(~)n OD^2 overset(~)n OF^2 = AF^2 + BD^2 + CE^2

In the given fig. if AD bot BC , prove that AB^2 + CD^2 = BD^2 + AC^2 .

In triangle ACB , angle C = 90^@ and CD bot AB . Prove that BC^2/AC^2 = BD/AD .

In an equilateral triangle ABC, AD bot BC meeting BC in D then AD^2 =…………..

O' is any point inside a rectangle ABCD. Prove that OB^2+OD^2=OA^2+OC^2

In the given figure below, If AD bot BC , prove that AB^2+ CD^2 = AC^2 + BD^2 .

In triangle ABC , angle C = angle 90 , D is the mid point of BC, Prove that AB^2 = 4AD^2 -3AC^2 .

If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)+bar(AC)^(2)=

ABD is a triangle right angled at A and ACbotBD . Show that i) AB^2=BC*BD

ABD is a Triangle right angle at A and AC bot BD . Show that (i) AB^2=BC.BD (ii) AD^2=BD.CD (iii) AC^2=BC.DC