Answer: 17
Step-by-step explanation:
We have a right triangle (a triangle with an angle of 90°). To find the value of c (the hypotenuse of the triangle) we use the Pythagorean theorem:
Where a and b are the legs of the triangle and c is the hypotenuse.
In this case, the value of a and b is:

Substituting these values into the Pythagorean theorem formula:

Solving the operations:

Solving for c:
![c=\sqrt[]{289cm^2}](https://img.qammunity.org/2023/formulas/mathematics/college/onua9h5yxvc54513gmgu2cr8wgqx9udd5j.png)
the result is:

Answer: 17