Find the maximum area of the ellipse that can be inscribed in an isoceles triangles of area A and having one axis lying along the perpendicular from the vertex of the triangles to its base.

The triangle of maximum area that can be inscribed in a circle is

The triangle of maximum area that can be inscribed in a given circle of radius 'r' is

The Hypotenuse of a right triangle is 65 cm and its base is 60 cm . Find the length of perpendicular and the area of the triangle .

Show that the right triangle of maximum area that can be inscribed in a circle is an isosceles triangle

Find the area of the shaded region in the diagram below where the given triangle is isosceles with vertices of base lying on axis of the radius perpendicular to the diameters of the two small semicircles