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Home >> Triangle >> Median of Triangle >>

Median of Triangle

Properties Types / Classification Perimeter of Equilateral Triangle Median of Triangle Interior of a Triangle
Exterior of a Triangle Altitude of a Triangle Interior Angles of Triangle Exterior Angles of Triangle Interior Opposite Angles of Triangle
Adjacent Interior Angle of Triangle Congruent Triangles Area of Triangle Area of Triangle by Heron's Formula Construction of Triangle (compass)

Before you study how to convert mixed fraction into decimal, you are adviced to study:

Define Line Segment
Define Vertex

Definition: A line segment joining the vertex of a triangle to the mid-point of its opposite side is known as Median of the Triangle

Or we can say that:

Median connects a vertex of a triangle with mid-point of its opposite side.

Example - In the below Triangle PQR



Point X is the mid-point of side RP.
Side RP is opposite to Vertex Q
And QX is a line segment which connects Vertex Q and with X
Hence, Line Segment QX is a Median of Triangle PQR



Example 2: How many medians can a triangle have ?
Solution: As we know that a triangle has three vertices and three sides.
And a median connects a vertex and opposite side.
Therefore we can say that there can be three medians in a triangle.

In the below triangle ABC:



Vertices A, B & C are connected to the mid-points Q, R & P of their respective opposite side BC, AC and AB.

Therefore, we got three Medians: AQ, BR & CP in Triangle ABC

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