" If "D" is the mid-point of the hypotenuse "AC" of a right triangle "ABC," prove that "BD=(1)/(2)AC

If D is the mid-point of the hypotenuse A C of a right triangle A B C , prove that B D=1/2A C

If D is the mid-point of the side BC of a triangle ABC, prove that vec AB+vec AC=2vec AD .

If D is the mid-point of the side BC of triangle ABC and AD is perpendicular to AC, then

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(i) BD^2=ADxxDC

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(iii) BC^2=CDxxAC

If BD is the perpendicular drawn from the vertex B of the right triangle ABC to the hypotenuse AC,prove that(ii) AB^2=ADxxAC

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