Line joining vertex to mid point of opposite side of a triangle is median of a triangle.

 

For ∆ABC

1.jpg

 

Here, AD is the median of triangle ∆ABC

& D is mid-point of BC.

 i.e. BD = CD

 

Similarly, we can draw median from point B

Median of a triangle - Part 2

Here, BE is the median of ∆ABC

& E is the mid point of AC

i.e. AE = EC.

 

And, we can draw median from point C

Median of a triangle - Part 3

Here, CF is the median of ∆ABC

& F is the mid point of AB.

i.e. AF = FB.

 

So, our median can be

Median of a triangle - Part 4

For obtuse angled triangle ∆ABC

Median of a triangle - Part 5

Medians are

Median of a triangle - Part 6

 

For right angled triangle ∆ABC

Median of a triangle - Part 7

Medians are

Median of a triangle - Part 8

 

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.