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Can a median divide a triangle in equal area?
Sure. That's true of a median in every isosceles triangle, and every median in an equilateral triangle. In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.
Can a median triangle also consider as a base?
The median of a triangle cannot be considered as a base of that triangle.
Prove that the three times the sum of squares of sides of triangle is equal to four times of its median?
Let the triangle be ABC and its medians by AX and BY and CZ. Therefore, since AC=AB, and OP=BD. Therefore, By Triangle Equiangular Property, Triangle ABC simliar to Triangle XYZ Therefore, Three times the sum of the squares of sides of triangle equal to 4 times of its median.:) Hope it helped.
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.
How do you make a model of median and altitude of a triangle?
median intersect each other at a point inside triangle and altitude intrsect eachother at apoint outside triangle
