CBSE Class 9 Answered
In an isosceles triangle, prove that the altitude from the vertex divides the triangle into two congruent triangles..
Asked by Topperlearning User | 10 Aug, 2017, 12:46: PM
![](https://images.topperlearning.com/topper/questions/8172_image010.jpg)
In triangle PQR, PQ = PR and PS
QR
![](https://images.topperlearning.com/topper/questions/8172_image001.gif)
In
PQS and
PSR
![](https://images.topperlearning.com/topper/questions/8172_image004.gif)
![](https://images.topperlearning.com/topper/questions/8172_image004.gif)
PQ = PR (given)
PS = PS (common)
![](https://images.topperlearning.com/topper/questions/8172_image011.gif)
![](https://images.topperlearning.com/topper/questions/8172_image011.gif)
![](https://images.topperlearning.com/topper/questions/8172_image004.gif)
![](https://images.topperlearning.com/topper/questions/8172_image007.gif)
![](https://images.topperlearning.com/topper/questions/8172_image004.gif)
Hence, proved.
Answered by | 10 Aug, 2017, 14:46: PM
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