In an equilateral triangle, the in-radius, circum-radius and one of the ex-radii are in the ratio

Draw an equilateral triangle whose sides are 5.2 cm. each

Three identical metal balls, each of the radius r are placed touching each other on a horizontal surface such that an equilateral triangle is formed when centre of three balls are joined. Then where does their centre of mass?

Find the ratio of the circum-radius and the inradius of DeltaABC, whose sides are in the ratio 4:5:6.

The base of an equilateral triangle with side 2a lies along the Y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.

In the given figure, ABC is an equilateral triangle with side 14 cm and a circle of radius 7 cm is drawn with vertex A as centre. Find the area of the shaded region. (Use sqrt(3) = 1.73 ) [Hint : Required area = Area of triangle + Area of circle -2 xx Area of sector]

In an equilateral triangle with side a, prove that, the altitude is of length (sqrt(3))/(2)a .

In an equilateral triangle with side a, prove that, the area of the triangle (sqrt(3))/(4)a^(2) .

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