what is the difference between - median , altitude , perpendicular bisector and perpendicular - in a triangle?
The words median, altitude , perpendicular bisector and perpendicular are defined as,
The line segment joining any vertex of a triangle to the mid-point of its opposite side is called the median of the triangle. In the following triangle ABC, D is the mid-point of side BC. So, AD is the median of the triangle.
A line is said to be perpendicular to another, if the angle between these lines is 90°. In the following figure, the lines L1 and L2 intersect at P. At P the angle between these lines is 90°. Therefore, these lines are called perpendicular lines.
A line is said to be perpendicular bisector to another line segment, if the line is perpendicular to the line segment and it bisects the line segment as well.
In the following figure, line PQ is perpendicular to AC and bisects it at H. So, line PQ is a perpendicular bisector of side AC of triangle ABC.
An altitude of a triangle is the perpendicular drawn from a vertex to the opposite side of the vertex of the triangle. In the following triangle PQR, PS is perpendicular from the vertex P to QR. So, PS is an altitude of triangle PQR.
Hope! This will help you.