AdministratorWhat is a median in a triangle?
A median of a triangle is a line segment that joins a vertex to the mid-point of the side that is opposite to that vertex. In the figure, AD is the median that divides BC into two equal halves, that is, DB = DC.
What is the altitude and median of a triangle?
An altitude is a perpendicular bisector on any side of a triangle and it measures the distance between the vertex and the line which is the opposite side whereas, a median is a line segment that connects a vertex to the central point of the opposite side.
Does median make 90 degrees?
No , Median not always form a right angle to side on which it is falling , Only in case we have equilateral triangle or isosceles triangle’s one median that is fall on non equal side of isosceles triangle .
Which center is at the intersection of medians?
The point where the medians intersect is the centroid.
Is the centroid the midpoint of the median?
The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.
Is median divides triangle equal area?
Hence the median of a triangle divides it into two triangles of equal areas.
Is median of a triangle perpendicular?
A median in geometry is a line segment that connects an angle of a triangle to the midpoint of the opposite side of a triangle. A median may or may not be perpendicular to the triangle’s side. A centroid is a point where the three medians intersect.
Does median of a triangle bisect the angle?
Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle’s centroid. In the case of isosceles and equilateral triangles, a median bisects any angle at a vertex whose two adjacent sides are equal in length.