Related Articles
Program to Find the Incenter of a Triangle
• Last Updated : 29 Jul, 2019

Given the vertices of a triangle and length of its sides. A circle is inscribed in a triangle. The task is to find the incenter of a triangle.

Examples:

```Input: A(2, 2), B(1, 1), C(3, 1)
and AB = 2, BC = 1, AC = 1
Output: (2, 1.5)

Input: A(3, 3), B(1, 2), C(2, 2)
and AB = 3, BC = 2, AC = 2
Output: (2.5, 2.83)
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution. Approach:

Below is the implementation of the above approach:

## C++

 `// C++ program to find the``// incenter of a triangle``#include ``using` `namespace` `std;`` ` `// Driver code``int` `main()``{``    ``// coordinate of the vertices``    ``float` `x1 = 2, x2 = 1, x3 = 3;``    ``float` `y1 = 2, y2 = 1, y3 = 1;``    ``float` `a = 2, b = 1, c = 1;`` ` `    ``// Formula to calculate in-center``    ``float` `x = (a * x1 + b *``                   ``x2 + c * x3) / (a + b + c);``    ``float` `y = (a * y1 + b * ``                   ``y2 + c * y3) / (a + b + c);`` ` `    ``// System.out.print(setprecision(3));``    ``cout << ``"Incenter = "` `         ``<< ``"("` `<< x << ``", "` `<< y << ``")"``;``    ``return` `0;``}`` ` `// This code is contributed by 29AjayKumar`

## Java

 `// Java program to find the``// incenter of a triangle`` ` `import` `java.util.*;``import` `java.lang.*;`` ` `class` `GFG {`` ` `    ``// Driver code``    ``public` `static` `void` `main(String args[])``    ``{``        ``// coordinate of the vertices``        ``float` `x1 = ``2``, x2 = ``1``, x3 = ``3``;``        ``float` `y1 = ``2``, y2 = ``1``, y3 = ``1``;``        ``float` `a = ``2``, b = ``1``, c = ``1``;`` ` `        ``// Formula to calculate in-center``        ``float` `x``            ``= (a * x1 + b * x2 + c * x3) / (a + b + c);``        ``float` `y``            ``= (a * y1 + b * y2 + c * y3) / (a + b + c);`` ` `        ``// System.out.print(setprecision(3));``        ``System.out.println(``"Incenter= "``                           ``+ ``"("` `+ x + ``", "` `+ y + ``")"``);``    ``}``}`

## Python3

 `# Python3 program to find the``# incenter of a triangle`` ` `# Driver code`` ` `# coordinate of the vertices``x1 ``=` `2``; x2 ``=` `1``; x3 ``=` `3``;``y1 ``=` `2``; y2 ``=` `1``; y3 ``=` `1``;``a ``=` `2``; b ``=` `1``; c ``=` `1``;`` ` `# Formula to calculate in-center``x ``=` `(a ``*` `x1 ``+` `b ``*` `x2 ``+` `c ``*` `x3) ``/` `(a ``+` `b ``+` `c);``y ``=` `(a ``*` `y1 ``+` `b ``*` `y2 ``+` `c ``*` `y3) ``/` `(a ``+` `b ``+` `c);`` ` `# System.out.print(setprecision(3));``print``(``"Incenter = ("``, x, ``","``, y, ``")"``);`` ` `# This code is contributed ``# by Akanksha Rai`

## C#

 `// C# program to find the``// incenter of a triangle`` ` `using` `System;`` ` `class` `GFG ``{`` ` `    ``// Driver code``    ``public` `static` `void` `Main()``    ``{``        ``// coordinate of the vertices``        ``float` `x1 = 2, x2 = 1, x3 = 3;``        ``float` `y1 = 2, y2 = 1, y3 = 1;``        ``float` `a = 2, b = 1, c = 1;`` ` `        ``// Formula to calculate in-center``        ``float` `x``            ``= (a * x1 + b * x2 + c * x3) / (a + b + c);``        ``float` `y``            ``= (a * y1 + b * y2 + c * y3) / (a + b + c);`` ` `        ``// System.out.print(setprecision(3));``        ``Console.WriteLine(``"Incenter= "``                        ``+ ``"("` `+ x + ``", "` `+ y + ``")"``);``    ``}``}`` ` `// This code is contributed by vt_m.`
Output:
```Incenter= (2.0, 1.5)
```

Attention reader! Don’t stop learning now. Get hold of all the important Java Foundation and Collections concepts with the Fundamentals of Java and Java Collections Course at a student-friendly price and become industry ready. To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.

My Personal Notes arrow_drop_up