Answer:
Right triangle.
Explanation:
We are asked to determine whether the given side lengths are sides of a right triangle or not.
We know that side lengths of a right triangle are Pythagoras triplets. The square of the longest must be equal to sum of squares of other sides.
Let us check sides of our given triangle.
![13^2=5^2+12^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lr5yujlvg5k4huttqj0kduu4p0hcrn0cbn.png)
![169=25+144](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y41olx9btvnd3blfv8lduntv4xpkc4zvkl.png)
![169=169](https://img.qammunity.org/2020/formulas/mathematics/middle-school/8c35yvbsb70wc05nb36adyu3osjs6hrvpl.png)
Since both sides of equation are equal, therefore, the given side lengths are sides of a right triangle.