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Yes and no.
Each median divides the triangle into two such that for any point on the median, the mass on one side is balanced by the mass on the other. But the mass ahead of that point may or may not balance the mass behind.
It is the point of intersection of the medians - the centroid - which is the centre of mass or centre of balance of the triangle.
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What is the center line of a triangle?
It depends on what you mean by a centre. The most likely answer is a median.
Can a median triangle also consider as a base?
The median of a triangle cannot be considered as a base of that triangle.
Is it true or false that the radius of the circle inscribed an equilateral triangle equals one-half the length of the length of the triangles median?
This is true. The answer is obvious if you think about it the following way: an equilateral triangle has three equal sides, and every point on the circumference of a circle is the same distance from the center of the circle. Therefore, it is safe to assume that the circle will touch the midpoint of each side of the triangle. It also means that the center of the circle will be in the center of the triangle. Therefore, the radius of the circle will travel from the center of the triangle to the midpoint of one of the sides. This will cover the distance of half the triangle's median.
What area property does the median of a triangle have?
Each median divides the area of a triangle into halves.
Does a median of a triangle contain the midpoint of the side to which it is drawn?
Yes, the median of a triangle is from a vertex to the midpoint of the side opposite the vertex.
