Theorem 6.7 : If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

If a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then prove that the triangle on each side of the perpendicular are similar to each other and to the original triangle. Also, prove that the square of the perpendicular is equal to the product of the lengths of the two parts of the hypotenuse.

If a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then prove that the triangle on each side of the perpendicular are similar to each other and to the original triangle. Also, prove that the square of the perpendicular is equal to the product of the lengths of the two parts of the hypotenuse.

If a perpendicular is drawn from the vertex containing the right angle of a right triangle to the hypotenuse then prove that the triangle on each side of the perpendicular are similar to each other and to the original triangle. Also, prove that the square of the perpendicular is equal to the product of the lengths of the two parts of the hypotenuse.

A perpendicular is drawn from the vertex of a right angle to the hypotenuse then the triangles on each side of the perpendicular are…….

Answer any One queation : Prove that, if a perpendicular is draw on the hypotenuse from the right angled triangle, two triangles so formed on the two sides of the perpendicular are each similar to the original triangle and also similar to each other.

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(ii) AB^2=ADxxAC

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

Show that in a right angled triangle, the hypotenuse is the longest side.