In this problem, $c = \sqrt{29}$ represents the length of the hypotenuse in a right triangle. This result comes from using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse ($c^2$) is equal to the sum of the squares of the other two sides ($a^2 + b^2$).

Here:

• $a = 2$
• $b = 5$

Thus: $c = \sqrt{a^2 + b^2} = \sqrt{2^2 + 5^2} = \sqrt{4 + 25} = \sqrt{29}$

The correct answer from the options is: "The length of the hypotenuse is $\sqrt{29}$ units."

Would you like further explanation?

Related Questions:

1. How does the Pythagorean theorem apply to different triangle dimensions?
2. What are some properties of the hypotenuse in a right triangle?
3. How would the hypotenuse change if one leg was altered?
4. What are some examples of using the square root in geometry?
5. Why is the hypotenuse always the longest side in a right triangle?

Tip:

The Pythagorean theorem only applies to right triangles and helps find missing side lengths when two sides are known.