Answer:
Explanation:
the Pythagorean theorem is
c is the hypotenuse which is the side opposite of the right angle
plug the numbers into the Pythagorean theorem
![x^2+(√(26))^2=13^2](https://img.qammunity.org/2022/formulas/mathematics/high-school/171ghfa01ib3xhldep7pgrs9esifvzfgy4.png)
when squaring a square root, just take the number in the radical and get rid of the radical
![x^2+26=169](https://img.qammunity.org/2022/formulas/mathematics/high-school/pfpnhzh3j28h59hndn3y2y8w02lgg6iqa4.png)
subtract 26 from both sides
![x^2=](https://img.qammunity.org/2022/formulas/mathematics/high-school/pimgpaot4ewndedfb3ftgd894e8048p0os.png)
![143](https://img.qammunity.org/2022/formulas/mathematics/high-school/2j110s8xsubs3k124m3kkvaf5s9obmk4co.png)
find the square root of 143
143 is prime so it can just be written as
![x=√(143)](https://img.qammunity.org/2022/formulas/mathematics/high-school/blovb306jvthrpf3fheeeg9xdiwv3x5624.png)