https://file.aiquickdraw.com/mathbot/file/1728658824290ca8pczfa.jpg

This problem involves finding the length of the third side of a right triangle. To do this, we can apply the **Pythagorean Theorem**, which states:

\[
a^2 + b^2 = c^2
\]

where \(a\) and \(b\) are the legs (the two shorter sides) of the right triangle, and \(c\) is the hypotenuse (the longest side, opposite the right angle).

From the image:
- One leg is 18 units.
- The other leg is 24 units.

The missing side is the **hypotenuse**, which we will calculate:

\[
c = \sqrt{a^2 + b^2}
\]
\[
c = \sqrt{18^2 + 24^2} = \sqrt{324 + 576} = \sqrt{900} = 30
\]

Thus, the length of the third side (the hypotenuse) is **30 units**.

Would you like a more detailed explanation or have any questions?

Here are 5 related questions for practice:
1. How would you apply the Pythagorean Theorem if you were given the hypotenuse and one leg?
2. Can the Pythagorean Theorem be used for any triangle? Why or why not?
3. What is the significance of rounding in this type of problem?
4. How can you verify if a triangle is a right triangle using its side lengths?
5. What happens if the legs have decimal lengths? Does it change the method?

**Tip:** Always check whether a triangle is a right triangle before applying the Pythagorean Theorem!

Find the length of the third side of a right triangle with legs of 18 units and 24 units.

Learn how to find the hypotenuse of a right triangle using the Pythagorean Theorem. This problem involves a triangle with legs of 18 and 24 units, where we apply the formula a^2 + b^2 = c^2 to calculate the hypotenuse.

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