CBSE Class 9 Answered
Prove that the triangle formed by joining the mid points of the sides of an isosceles triangle is an isosceles triangle.
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
![](https://images.topperlearning.com/topper/questions/8814_image015.gif)
An isosceles triangle ABC
In
ABC, AB = AC
![](https://images.topperlearning.com/topper/questions/8814_image002.gif)
D, E and F are the mid points of sides AB, AC and BC respectively.
By mid point theorem
![](https://images.topperlearning.com/topper/questions/8814_image016.gif)
![](https://images.topperlearning.com/topper/questions/8814_image005.gif)
In
DEF, EF = DF.
![](https://images.topperlearning.com/topper/questions/8814_image002.gif)
Hence, DEF is an isosceles triangle.
Answered by | 11 Aug, 2017, 13:52: PM
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