Prove that the m id- point of the hypotenuse of a right-angled triangle is equidistant from its three vertices.

Using analytical method prove that the mid - point of the hypotenuse of a right angled triangle is equidistant from the three vertices .

In a right -angled triangle, prove that r+2R=S.

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the sum of the sides maximum ,

The length of the hypotenuse of a right angled triangle is a Find the lenghts of its other sides , so that the area of the triangle is maximum.

If the length of the hypotenuse of right-angled isoceles triangle be 12sqrt(2)cm , then find its area.

If the sum of the lengths of the hypotenuse and another side of a right-angled triangle is given, show that the area of the triangle is maximum when the angle between these sides is pi/3dot

The circle drawn with hypotenuse of a right angled triangle as diamter passes through the __________

The length of the hypotenuse of a right angled triangle is 3 ft Find the volume of the greatest cone that can be generated by revolving the triangle about a side.

The length of the hypotenuse of a right angled triangle is 3 ft. Find the volume of the greatest cone that can e generated by revolving the triangle about a side.