How do you find the distance from the center of an 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.

What is the distance of centroid from the vertex of an equilateral triangle?

the centroid is always located in the interior of the triangle. The centroid is located 2/3 of the distance from the vertex along the segment that connects the vertex to the midpoint of the opposite side.

How do you find the length of the vertex from the centroid?

The distance from the centroid to the vertex is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex. You can use the distance from the centroid to the vertex of a triangle to find the length of the entire median segment.

What is the length of the centroid?

The centroid is 2/3 of the distance along the median away from the vertex and so it is 1/3 of the distance away from point D, the midpoint of the opposite side.

What is the length of one side of an equilateral triangle?

Because all the sides in an equilateral triangle are equal, we can just divide the perimeter by 3 to find the length of a side.

What is the side length of an equilateral triangle with altitude 6?

If the altitude is 6, then the side length is 4√3 units. The area of an equilateral triangle is , A = a^2√3 / 4, where a is the side length.

What is the length of the side of the equilateral triangle?

From the figure, the length of the side of the equilateral triangle is «a»: The area of an equilateral triangle (S) is calculated from the following figure: We know that the area of a triangle is ½ (base x height). In the equilateral triangle ABC of side «a»: ⇒ S = ½.a.h …. (1)

How to find the perimeter of the equilateral triangle?

The perimeter of a triangle is defined as the sum of the lengths of the sides. Then calculating the perimeter of the equilateral triangle will be easy, we only have to know its side and add it three times, which would be the same side multiplied by three, let’s see: From the figure, the length of the side of the equilateral triangle is «a»:

How do you calculate the altitude of an equilateral triangle?

Calculator Use. An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. The altitude shown h is hb or, the altitude of b. For equilateral triangles h = ha = hb = hc.

What is the internal angle of an equilateral triangle?

Internal angle ( degrees) 60°. In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.