What is the distance between Centre and vertex of an equilateral triangle?

What is the distance between Centre and vertex of an equilateral triangle?

The centroid of any triangle, equilateral or otherwise, is two-thirds the length of the median from the respective vertex. Distance between the centroid and any vertice of equilateral triangle is circumradius which is two-third of the height of the triangle.

What is the centroid distance of an equilateral triangle?

The centroid is 2/3 of the distance along the median from the vertex of that triangle, or the 1/3 of the distance along the median from the right angle point. Given that, the triangle is equilateral of side 2m, length of the median must be .

How do you find the distance from the corner to the center of the equilateral triangle?

Distance between the centroid and any vertice of equilateral triangle is circumradius which is two-third of the height of the triangle. The centroid of any triangle, equilateral or otherwise, is two-thirds the length of the median from the respective vertex.

How do you find the distance to the middle of a triangle?

To find the centroid of a triangle, use the formula from the preceding section that locates a point two-thirds of the distance from the vertex to the midpoint of the opposite side. For example, to find the centroid of a triangle with vertices at (0,0), (12,0) and (3,9), first find the midpoint of one of the sides.

How do you find the center of an equilateral triangle?

Easy! Measure the mid-points of all three sides of the triangle. Then draw a line from each of those midpoints on the lines to their opposing angles. The three lines you draw should intersect in the exact middle of the equilateral triangle.

What is the distance from the vertex to the centroid?

23
The centroid of a triangle is the point where the three medians coincide. The centroid theorem states that the centroid is 23 of the distance from each vertex to the midpoint of the opposite side.

What is the radius of an equilateral triangle?

The radius of a circumcircle of an equilateral triangle is equal to (a / √3), where ‘a’ is the length of the side of equilateral triangle.

What is the formula for finding area of an equilateral triangle?

In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.