if a perpendicular is drawn from vertex of the right angle of a triangle to hypotenuse then triangles on both side of a perpendicular are similar to the whole tringle and to each oth er.

Open in App

Solution

Suggest Corrections

Similar questions

Q. 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 is product of the lengths of the two parts of the hypotenuse.

Q. In given figure if a perpendicular is drawn from the right angle vertex of a right triangle to the hypotenuse, then prove that the triangle on each side of the perpendicular is 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 drawn from the vertex of one of the acute angles of a right angled triangle divides the triangle into two triangles similar to each other.

If in a right angle triangle the hypotenuse is four times as long as the perpendicular Drawn to Opposite vertex, then one of its acute angle is

Q. In a right - angled triangle, the hypotenuse is

2 \sqrt{2}

times the perpendicular drawn from the opposite vertex, then the other acute angles of the triangle are

Join BYJU'S Learning Program