Check sibling questions

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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.