Answer:
10 units
Step-by-step explanation:
The Pythagorean theorem says that the hypotenuse c of a triangle is equal to:
![c=\sqrt[]{a^2+b^2}](https://img.qammunity.org/2023/formulas/mathematics/college/6uwqakmkjq6nua21bpopztkrf20jt2flji.png)
Where a and b are the length of the other sides of the triangle.
So, replacing a by 6 and b by 8, we get that the hypothenuse is equal to:
![\begin{gathered} c=\sqrt[]{6^2+8^2} \\ c=\sqrt[]{36+64} \\ c=\sqrt[]{100} \\ c=10 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/icxi1kdjqsxvs2tlhg7tcc9zofxxcajv63.png)
Therefore, the length of the hypothenuse is 10 units