The area of incircle of an equilateral triangle is `154cm^2`then the perimeter of the triangle is

The area of an equilateral triangle ABC is 17320.5cm^2 .With each vertex of the triangle as center,a circle is drawn with radius equal to half the length of the side of the triangle(seeFig.12.28).Find the area of the shaded region.(use pi=3.14 and sqrt3=1.73205 )

In figure the perimeter of triangle ABC is

If the length of one side of an equilateral triangle is 10 cm. then find the length of its altitude.

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

The distance of the centroid from a vertex of an equilateral triangle is 4 cm. Find the length of the sides.

Prove that the area of the equilateral triangle drawn on the hypotenuse of a right angle triangle is equal to the sum of the areas of the equilateral triangles drawn on the other two sides.

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

What is the ratio of the areas of a circle and an equilateral triangle whose diameter and side are respectively equal?

Prove that the Pedal triangle of an equilateral triangle is also an equilateral triangle.

Length of an altitude of an equilateral triangle of side '2a' cm is