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**altitudes**,

**medians**, and angle bisectors are different segments. In certain triangles, though, they

**can**be the same segments. In Figure , the

**altitude**drawn from the vertex angle of an isosceles triangle

**can**be proven to be a

**median**as well as an angle bisector.

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.

**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.

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.