In figure , D is point on hypotenuse AC of `Delta ABC , BD bot AC, DM bot BC and DN bot AB.` Prove that

`DM ^(2) = DN. MC`

In figure , D is point on hypotenuse AC of Delta ABC , BD bot AC, DM bot BC and DN bot AB. Prove that DN ^(2) = DM . AN

In Fig, D is a point on hypotenuse AC of Delta ABC , such that BD bot AC , DM bot BC and DN bot AB .Prove that :- DM^2=DN.MC

In Fig, D is a point on hypotenuse AC of Delta ABC , such that BD bot AC , DM bot BC and DN bot AB .Prove that :- DN^2=DM.AN

In fig., O is a 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 fig., O is a 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-OD^2-OE^2-OF^2=AF^2+BD^2+CE^2 .

In Fig., E is a point on side CB produced of an isosceles triangle ABC with AB = AC. If AD bot BC and EF bot AC, prove that triangleABD ~ triangle ECF. .

In figure AB bot BC and DE bot AC. Prove that triangleABC ~ triangleAED .

D is a point on side BC of Delta ABC such that AD = AC (see Fig. 7.47). Show that AB > AD.

D is any point on side AC of triangleABC with AB=AC show that CD>BD.

In figure, AD is a median of a triangle ABC and AM bot BC. Prove that AC ^(2) = AD ^(2) + BC. DM + ((BC)/( 2)) ^(2)