how can we find the difference between altitudes and medians in a triangle
Answers
Step-by-step explanation:
A median of a triangle is a segment connecting a vertex to the midpoint of its opposite side. An altitude of a triangle is a segment from a vertex to the line containing its opposite side, and is perpendicular to that line
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 opposite side whereas, a median is a line segment that connects a vertex to the central point of the opposite side.
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Medians
It is drawn from a vertex of the triangle to the midpoint of the opposite side.
Divides the opposite side into two equal parts or halves.
It may or may not make 90° with the opposite side i.e. being perpendicular.
Altitudes
It is drawn from a vertex of the triangle to the opposite side being perpendicular to it.
It may or may not divide the opposite side into two equal parts or halves.
It makes 90° with the opposite side i.e. is perpendicular to it.
Thus, we can conclude that a median is drawn from a vertex of the triangle to the midpoint of the opposite side and divides the opposite side into two equal parts or halves, whereas an altitude is drawn from a vertex of the triangle to the opposite side being perpendicular to it.