The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.

Three coins of unit radius are placed in an equilateral triangle as shown in the following figure. The area of that equilateral triangle is :

The side of a rehular hexagon (Fig.) is denoted by l. Express the perimeter of the hexagon using l.(Hint : A regular hexagon has all its six sides equal in length.)

Prove that ara of the equilateral triangle described on the sides of square is half the area of the equilateral triangle described on its diagonal.

ABC is a right angled triangle, having lfloorB=90^(@) . If BD=DC , Show that AC^(2)=4AD^(2)-3AB^(2) OR Prove that area of the equilateral triangle described on the side of a square is half the area of the equilateral triangle described on its diagonal.

One side of an equilateral triangle is 24 cm. The midpoints of its sides are joined to form another triangle whose midpoints are in turn joined to form still another triangle this process continues indefinitely. The sum of the perimeters of all the triangles is

The altitude of an equilateral triangle having the length of its side 12 cm is

The equation of base of an equilateral triangle is x+y=2 and vertex is (2, -1). Then the length of the side of the triangle equals:

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

The sides of an equilateral triangle are increasing at the rate of 2 cm/sec.The rate at which the area is increases when the side is 10cm is

The side of an equilateral triangle are increasing at the rate of 2 cm/sec. The rate at which its area is increasing, when the side is 14 cm