Asked by: Sharyl Weingardscience space and astronomy
Can an altitude be a median?
Last Updated: 25th January, 2020
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Hereof, can a median also be an altitude?
Yes. A median connects the midpoint of a triangle with the opposite vertex. An altitude connects a vertex of a triangle to the side opposite of the vertex so the angle formed between the two segments is a right angle.
Also, is the altitude of an equilateral triangle also the median? – If median drawn from vertex A is also the angle bisector, the triangle is isosceles such that AB = AC and BC is the base. Hence this median is also the altitude. In an equilateral triangle, each altitude, median and angle bisector drawn from the same vertex, overlap.
Additionally, what is the difference between an altitude and a median?
An altitude of a triangle is the perpendicular drawn from any vertex to it's opposite side whereas a median of a triangle is the line joining any vertex and the mid point of it's opposite side. In the case of an equilateral triangle median and altitude coincide with each other.
Is median perpendicular?
1 Answer. Segment joining a vertex to the mid-point of opposite side is called a median. Perpendicular from a vertex to opposite side is called altitude. A Line which passes through the mid-point of a segment and is perpendicular on the segment is called the perpendicular bisector of the segment.