Answer:
C. √89
Explanation:
Step 1: Define/formula
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the legs of a right triangle, squared, must equal the hypotenuse, squared.
The legs of a triangle are the sides that form the right angle.
The hypotenuse of a right triangle is the longest side.
Step 2: Solve
Here, I am solving for the hypotenuse.
![formula=a^2+b^2=c^2](https://img.qammunity.org/2022/formulas/mathematics/college/9ce4o4lx60b331a6seivyv3q20eijou3vu.png)
![a, b=legs](https://img.qammunity.org/2022/formulas/mathematics/college/wjxvl675267opsfde8lm8xoq0jqe9cm0l2.png)
![c=hypotenuse](https://img.qammunity.org/2022/formulas/mathematics/college/suzasj6csnet76zjzdjvvcxpr7pgjeh10r.png)
![5^2+8^2=c^2](https://img.qammunity.org/2022/formulas/mathematics/college/2pmfecgx9ckmllsxdxuyixe7gydy8a6vql.png)
![25+64=c^2](https://img.qammunity.org/2022/formulas/mathematics/college/17zc2zc01q9jako663mjiqaida6wyl7sak.png)
![89=c^2](https://img.qammunity.org/2022/formulas/mathematics/college/d2noufkvpkwpwqrap1mj2ct0fkuiuixc1k.png)
Step 3: Conclude
Since the last step is to find the square root of 89, option 'C' is the right answer.