Finding Centroid Of Triangle Math
Identify the coordinates of each vertex in the triangle often these will already be labelled.
Finding centroid of triangle math. The three medians of a triangle intersect at its centroid. These line segments are the medians. The centroid has an interesting property besides being a balancing point for the triangle. The centroid of a triangle is the intersection of the three medians or the average of the three vertices.
Things to try in the diagram at the top of the page drag the points a b or c around and notice how the centroid moves and the. To find the centroid of any triangle construct line segments from the vertices of the interior angles of the triangle to the midpoints of their opposite sides. In this example the vertices are. Their intersection is the centroid.
In other words if you made the triangle out of cardboard and put its centroid on your finger it would balance on each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint of the side opposite the vertex. Find the centroid of this triangle. Drag the triangle to some random new shape. The centroid is the triangle s balance point or center of gravity.
How to find the centroid of a triangle. A 4 5 b 20 25.