What are the properties of centroid of equilateral triangle?
9) Properties of centroid of a triangle 1) It is the intersection of three medians of a triangle. 2) It is a point of congruency of a triangle. 3) It is always on the inside of a triangle. 4) It acts as the centre of gravity of a triangle.
What is the value of centroid of equilateral triangle?
(0, 0)
The centroid of an equilateral triangle is (0, 0).
How do you find the centroid of an equilateral triangle?
The centre of mass of the equilateral triangle is at a distance of H/3 from the centre of the base of the triangle. H is the height of the triangle. The centroid or the centre of mass divides the median in 2:1 ratio.
What is centroid property of triangle?
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 formula of centroid of a triangle?
Then, we can calculate the centroid of the triangle by taking the average of the x coordinates and the y coordinates of all the three vertices. So, the centroid formula can be mathematically expressed as G(x, y) = ((x1 + x2 + x3)/3, (y1 + y2 + y3)/3).
What are the properties of a centroid?
The properties of the centroid are as follows:
- The centroid is the centre of the object.
- It is the centre of gravity.
- It should always lie inside the object.
- It is the point of concurrency of the medians.
How is a centroid formed?
The centroid of a triangle is formed when three medians of a triangle intersect. It is one of the four points of concurrencies of a triangle. The medians of a triangle are constructed when the vertices of a triangle are joined with the midpoint of the opposite sides of the triangle.
What is the difference between centroid and other centre of a triangle?
The centroid is located 2/3 of the way from the vertex to the midpoint of the opposite side. The orthocenter (H) of a triangle is the point of intersection of the three altitudes of the triangle. The circumcenter (C) of a triangle is the point of intersection of the three perpendicular bisectors of the triangle.
What is centroid method?
The centroid method is an agglomerative clustering method, in which the similarities (or dissimilarities) among clusters are defined in terms of the centroids (i.e., the multidimensional means) of the clusters on the variables being used in the clustering.
What is Circumcenter of a triangle?
The three perpendicular bisectors of a triangle meet in a single point, called the circumcenter .