![\qquad \qquad\huge \underline{\boxed{\sf Answer}}](https://img.qammunity.org/2023/formulas/mathematics/college/hd5perfwrdx77exny7i0b3860vu6z8guzp.png)
To check if the triangle is congruent or not, we have to see if they form Pythagorean triplet, that is :
sum of squares of smaller sides should be equal to square of the longest side.
let's check it out ~
![\qquad \sf \dashrightarrow \: {5}^(2) + 12 {}^(2) = {13}^(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/btpw42ifb2ze0u5h11paf8ww82kkaot6nz.png)
![\qquad \sf \dashrightarrow \: {25}^{} + 144 = 169](https://img.qammunity.org/2023/formulas/mathematics/high-school/s667n7to3kxia32w147qhyckczz5fcubq8.png)
![\qquad \sf \dashrightarrow \: 169= 169](https://img.qammunity.org/2023/formulas/mathematics/high-school/hbhllbqjlyz24iwpoa1weww2mhe2mmqidy.png)
Therefore, the sides 5, 12 and 13 forms a right angle.