Write the coordinates of the incentre of the triangle having its vertices at (0,0), (5,0) and (0,12).

Explanation

Let` A(0,0), B(5,0) and C(0,12)` be the vertices of the given triangle. In-centre I of a triangle with vertices


`A(x_{1}, y_{1}), B(x_{2}, y_{2}) text { and } C(x_{3}, y_{3}) `

`I equiv(frac{a x_{1}+b x_{2}+c x_{3}}{a+b+c}, frac{a y_{1}+b y_{2}+c y_{3}}{a+b+c})`


Now,

`a=B C=sqrt{(5-0)^{2}+(0-12)^{2}}=13 `

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