Why Is the Centroid Always Inside the Triangle?
The Centroid of a Triangle Is Constructed by Taking Any Given Triangle and Connecting the Midpoints of Each Leg of the Triangle to the Opposite Vertex. .. . No...
The centroid of a triangle is constructed by taking any given triangle and connecting the midpoints of each leg of the triangle to the opposite vertex. ... No matter what shape your triangle is, the centroid will always be inside the triangle.
Will the centroid always lie inside or in the interior of a triangle?
In fact, the centroid is the balance point/center of mass of a triangle. Open the GSP animation of the centroidof a triangle. Notice how that as the triangle shape varies, the centroid remains inside the triangle.
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Why does every triangle have a centroid?
Every triangle has a single point somewhere near its "middle" that allows the triangle to balance perfectly, if the triangle is made from a rigid material. The centroid of a triangle is that balancing point, created by the intersection of the three medians.
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