From a point in the interior of an equilateral triangle, the length of the perpendiculars to the three sides are 6 cm, 8 cm and 10 cm respectively. The area of the triangle is

ABC is an equilateral triangle with side 12 cm and AD is the median. Find the length of GD if G is the centroid of ΔАВС.

If the radius of a circle is increased by 15% its area increases by _____.

If the diagonals of two squares are in the ratio of 2: 5, their area will be in the ratio of

The ratio of the area of a square to that of the square drawn on its diagonal is

The volume of a cuboid is 2 times the volume of a cube. If the dimensions of the side are 9 cm by 8 cm and 6 cm, then the total surface area of the cube is

The area of a right-angled isosceles triangle having hypotenuse 16√2 cm is

A conical vessel, whose internal radius is 20 cm and height is 27 cm, is full of water. If this water is poured into a cylindrical vessel with internal radius 15cm, what will be the height to which the water rises in it?