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!