Median in a triangle is nothing but the straight line that joins one vertex and midpoint of the side that is opposite to the vertex. A triangle can have a maximum of three medians and the point of intersection of three medians is called the center of the triangle.
1)All triangles have 3 medians, each one from the triangle vertex. Here AD, BE, CF are the 3 medians of the triangle ABC,The three medians meet at a single point
2) The point where 3 medians meet is called the centroid of the triangle. Here O is the centroid of △ ABC.
3) Each median of a triangle divides the triangle into two smaller triangles having the same area,So, 3 medians divide a triangle into 6 smaller triangles of equal area
The altitude is a straight line that starts from the triangle vertex and stretches till the opposite side of the vertex making a right angle with the side of the triangle.
1)Each triangle has 3 altitudes. Here AD, BE, CF are the altitudes of the triangle ABC.
2)An altitude is also called the shortest distance from the vertex to the opposite side of a triangle.
3) The point of intersection of three altitudes is called the ortho-center of the triangle. Here O is called the ortho-center of triangle ABC.
In the case of isosceles triangle median and altitude, there are some particular features to be learned. These features of the median and altitude of an isosceles triangle are as follows.
1) Angle bisector and median both are the same in an isosceles triangle when an altitude is drawn from a vertex to base.
2) Altitude median angle bisector all interchange in case of an isosceles triangle.