The sides of an equilateral triangle increae at the rate of `sqrt3 cm//sec`. What will be the rate of increae in area of the triangle when the length of a side is 5 cm?

if the sides of an equilateral triangle are increasing at the rate of 2 cm/s, at what rate is its area increasing, when its side is 10 cm?

The side of a square is increasing at the rate of 0.01 cm per sec. Find the rate of change of its area at the instant when each side is 4 cms.

If one side of an equilateral triangle measures 5 cm,then find the measure of its altitude.

Prove that the area of an equilateral triangle with sides equal to the sides of a square is half the area of the equilateral triangle with sides equal to țhe length of the diagonals of the square.

What is the height of an equilateral triangle having each side 12 cm?

If one side of an equilateral triangle measures 10cm. find its height.

Find the greatest angle of the triangle whose sides are of length 5, 12 and 13 cms

Find the length of the hypotenuse of the triangles whose other two sides are:(i)6cm ,8 cm

The radius of a sphere is decreasing at the rate of 3 cm per second. Obtain the rate of decrease of the surface area when the radius is 18 cm.