Must the centroid of an isosceles triangle lie on the altitude to the base?
To explain:
The centroid of an isosceles triangle lie on the altitude to the base.
Definition:
Altitudes of a triangle:
An altitudes is a line which passes through a vertex of a triangle, and meets the opposite side at right angles.
Centroid:
A centriod of a triangle is the point where the three medians of the triangle meet. A median of triangle is a lined segment from one vertex to the midpoint on the opposite of the triangle.
Given:
The centroid of an isosceles triangle lie on the altitude to the base.
Calculation:
In an isosceles triangle, the altitude and median are the same line segment when drawn from the vertex opposite the base to the base...
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