https://file.aiquickdraw.com/mathbot/file/1728521877353v74ya253.jpg

This is a right triangle problem, and the image shows two sides of the triangle:

- One leg is 8 units.
- The hypotenuse is 10 units.

We need to find the length of the missing leg, using the **Pythagorean Theorem**:

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

Where:
- \(a\) and \(b\) are the legs of the right triangle,
- \(c\) is the hypotenuse.

We know:
- \(b = 8\),
- \(c = 10\).

Let's solve for \(a\):

\[
a^2 + 8^2 = 10^2
\]
\[
a^2 + 64 = 100
\]
\[
a^2 = 100 - 64
\]
\[
a^2 = 36
\]
\[
a = \sqrt{36} = 6
\]

Thus, the missing side is **6 units**.

Would you like a detailed explanation or have any questions?

Here are 5 related questions:
1. What is the Pythagorean theorem and when is it used?
2. How do you identify the hypotenuse in a right triangle?
3. What is the process to square and square-root numbers in algebra?
4. How do you solve for an unknown variable in a quadratic equation?
5. What other methods exist for finding the sides of a triangle?

**Tip:** Always check if the triangle is a right triangle before applying the Pythagorean theorem!

Find the length of the third side. If necessary, round to the nearest tenth. The triangle has one leg of 8 units and the hypotenuse of 10 units.

Learn how to find the length of the missing side in a right triangle using the Pythagorean Theorem. This example shows a triangle with legs of 8 units and a hypotenuse of 10 units, guiding you through the step-by-step process of calculating the missing side.

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