Calculate the length of the hypotenuse in the diagram below. Give your answer to 3 significant figures.

To provide an accurate answer for the length of the hypotenuse, I'll need the lengths of the two sides of the right triangle. However, since I do not have access to the diagram you mentioned, I will outline the steps for you to calculate the hypotenuse using the Pythagorean theorem.

1. ### Break Down the Problem

Identify the lengths of the two legs of the right triangle. Let's denote:

• The length of one leg as $a$
• The length of the other leg as $b$

2. ### Relevant Concepts

According to the Pythagorean theorem, the relationship between the lengths of the legs and the hypotenuse $c$ is given by: $c = \sqrt{a^2 + b^2}$

3. ### Analysis and Detail

1. Square the lengths of both legs:
   • Calculate $a^2$
   • Calculate $b^2$
2. Add the squares together:
   • Compute $a^2 + b^2$
3. Take the square root of the sum to find the length of the hypotenuse:
   • Compute $c = \sqrt{a^2 + b^2}$

4. ### Verify and Summarize

Make sure to double-check the calculations for accuracy. Present the hypotenuse, rounded to 3 significant figures.

Final Answer

Once you have the specific values of $a$ and $b$, substitute them into the formula to calculate $c$ and present your final answer.