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

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

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 .

In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .

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

In the adjacent figure, Prove that BD = DC if AB = AC

ABC is a right Triangle right angled at B.Let D and E be any points on AB and BC respectively. Prove that AE^2+CD^2=AC^2+DE^2 .

In the given figure, LM | | CB and LN | |CD , prove that (AM)/(AB)=(AN)/(AD) .

In the given figure, AB=BC and AC=CD. Prove that angelBAD: angelADB = 3:1