Problem 196. Triangle, Inradius and Exradii Formula
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Geometry Problems
In the figure below, given a triangle ABC, r is the inradius and ra, rb, rc, are the exradii. Prove that
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGJzc8IDfVJsXgAhqawLEGdKzZKP2MMzlQg44HAtaY1JggTPDrF4D5BeJ6TGRFj8w7_yPzt3WH9FRgGFU68vVgv1Z3eJTEOgQ5gyGcAtMNT0aGWKdYFe4Ftbo5Fw2AvgPfIc35qUVdAMOs/s200/p196_triangle_radius_prove.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjGJzc8IDfVJsXgAhqawLEGdKzZKP2MMzlQg44HAtaY1JggTPDrF4D5BeJ6TGRFj8w7_yPzt3WH9FRgGFU68vVgv1Z3eJTEOgQ5gyGcAtMNT0aGWKdYFe4Ftbo5Fw2AvgPfIc35qUVdAMOs/s200/p196_triangle_radius_prove.gif)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhnZUxl1WxvzYn5EdUOJSkFb6t15BV0V64kb7xfLp5cQspAV2h1Kc32uuh9XAedvo1nSAdI-wlEhRl6ccM-lSewyiiI9tSe7xAtMBPBcjd1vNRTCFKuSsHWoyI9vEmLvmB8KQOv9oUiNma5/s400/p196_triangle_radius_fact.gif)
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