The length of the perpendiculars drawn from any point in the interior of an equilateral triangle to the respective sides are p₁ , p₂ and p₃ . The length of each side of the triangle is

What is the total surface area of a pyramid whose base is a square with side 8 cm and height of the pyramid is 3 cm? 

A pole 23 m long reaches a window which is 3 m above the ground on one side of a street. Keeping its foot at the same point, the pole is turned to the other side of the street to reach a window 4 is m high. What is the width (in m) of the street? 

What is the height (in cm) of an equilateral triangle whose each side is 8 cm?

Diagonal of a given square is 4√2 cm. What is the diagonal of the other square whose area is double of the given square?

If the numerical value of thes perimeter of an equilateral triangle is  times the area of it, then the length of each side of the triangle is

A cylindrical roller made of iron is 1.2 m long. Its internal radius is 24 cm and thickness of the iron sheet used in making the roller is 15 cm. What is the mass (in kg) of the roller, if 1 cm³ of iron has 8 g mass?

If two circles of radii 18 cm and 8 cm touch externally, then the length of a direct common tangent is: