CBSE Class 9 Answered
Prove that the triangles formed by joining in pairs, the mid points of the three sides of a triangle are congruent to each other.
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
![](https://images.topperlearning.com/topper/questions/8811_image009.gif)
ABC is a triangle in which D, E and F are the mid points of the sides BC, CA and AB respectively.
F and E are the mid points of AB and AC respectively
![](https://images.topperlearning.com/topper/questions/8811_image004.gif)
![](https://images.topperlearning.com/topper/questions/8811_image003.gif)
![size 12px 1 over size 12px 2](https://images.topperlearning.com/topper/tinymce/cache/c48496b1377677d452dcb9fa98b5d02d.png)
![](https://images.topperlearning.com/topper/questions/8811_image005.gif)
In
AFE and
FBD,
![](https://images.topperlearning.com/topper/questions/8811_image002.gif)
![](https://images.topperlearning.com/topper/questions/8811_image002.gif)
AF = FB
FE = BD
![](https://images.topperlearning.com/topper/questions/8811_image010.gif)
![](https://images.topperlearning.com/topper/questions/8811_image010.gif)
![](https://images.topperlearning.com/topper/questions/8811_image004.gif)
![](https://images.topperlearning.com/topper/questions/8811_image002.gif)
![](https://images.topperlearning.com/topper/questions/8811_image011.gif)
![](https://images.topperlearning.com/topper/questions/8811_image002.gif)
Similarly you can prove that the other pairs of triangles are also congruent.
Answered by | 11 Aug, 2017, 13:59: PM
Application Videos
Concept Videos
CBSE 9 - Maths
Asked by vineetyadav77050 | 25 Jul, 2021, 17:45: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:58: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:01: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:56: AM
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM