Is the centroid of an equilateral triangle equidistant from its three sides ?why?

An equilateral triangle with the measure of its side is 6 cm. The area of the triangle is \(\sqrt{m}\) \(cm^2\). Find m

an equilateral triangle of side 12 has its conrner cut off to form a regular hexagon

a) what is the area of the corner cut off?

b) find the are of the 

Choose the suitable number to fill in the blank. “I am an equilateral triangle. I am a triangle with ____ equal sides.”

A certain number of fifty-cent coins is to from an equilateral triangle. The same number of fifty-cent coins can also be used to from a square. The number of fiftty-cent coins on each side of the square is 6 fewer than the number of fifty-cent coins on each side of the equilateral traingle. How many fifty-cent coins are there altogether?

Give an equilateral triangle with each side 9cm. Find the area of this triangle.

The lengths in cm of three sides of a triangle are three consecutive odd numbers. Knowing that the perimeter of the triangle is 39cm, find the length of the longest side of the triangle. Show your work.

the area of an equilateral triangle is \(8\sqrt{12}cm^2\)

What is the perimeter of the triangle

Three sides of a triangle are: 7,5 dm; 6,25 dm; and 8,35 dm. Its perimeter is...dm?