Table of Contents
- 1 How do you find the distance from the vertex to the centroid of the equilateral triangle?
- 2 What is the distance of centroid from vertex in equilateral triangle of side 2m?
- 3 How do you find the perpendicular distance formula?
- 4 What is the Centroidal distance of an equilateral triangle of side A from any of the three sides?
How do you find the distance from the vertex to the centroid of the equilateral triangle?
As the equilateral β has side a,=>the distance from its vertex to the centroid is=a/(β3).
What is the distance of centroid from vertex in equilateral triangle of side 2m?
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 vertex to the centroid?
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. The centroid is located 1/3 of the distance from the midpoint of a side along the segment that connects the midpoint to the opposite vertex.
What do you mean by centroid of a triangle?
The centroid of a triangle is the point of intersection of its medians (the lines joining each vertex with the midpoint of the opposite side). The centroid divides each of the medians in the ratio 2:1, which is to say it is located β of the distance from each side to the opposite vertex (see figures at right).
How do you find the perpendicular distance formula?
Key Points
- The perpendicular distance is the shortest distance between a point and a line.
- The perpendicular distance, π· , between the point π ( π₯ , π¦ ) ο§ ο§ and the line πΏ : π π₯ + π π¦ + π = 0 is given by π· = | π π₯ + π π¦ + π | β π + π .
What is the Centroidal distance of an equilateral triangle of side A from any of the three sides?
= (1/3) [ a + a/2 ] =3a /6 .
How do you find the distance from the centroid?
Centroid theorem: the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. That is, the distance from the centroid to each vertex is 2/3 the length of each median. This is true for every triangle.