Draw an equilateral triangle whose sides are 5.2 cm. each

Construct an equilateral traingle of side 5.5cm.

Prove that the ratio of the area of a circle and the equilateral triangle whose side is equal to the diameter of the circle is pi:sqrt3

Find the perimeter of each of the following shapes: (b) An equilateral triangle of side 9 cm.

ABC is an equilateral triangle of side 2a. Find each of its altitudes.

Find the area of the shaded region in Fig. 5.22, where a circular arc of radius 6 cm has been drawn with vertex O of an equilateral triangle OAB of side 12 cm as centre.

Draw a right triangle in which the sides (other than hypotenuse) are of lengths 4 cm and 3 cm. Then construct another triangle whose sides are (5)/(2) times the corresponding sides of the given triangle.

Complete the hexagonal and star shaped Rangolies, By filling them with as many equilateral triangles of side 1 cm as you can. Count the number of triangles in each case. Which has more triangles.

Show that the angles of an equilateral triangle are 60^@ each.

In the given figure, Delta POR is an equilateral triangle of side 8 cm and D, E, F are centres of circular arcs, each of radius 4 cm. Find the area r shaded region. (Use pi = 3.14 and sqrt(3) = 1.732)