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The image presents a right triangle with two given sides: the hypotenuse is 10 mm, and one leg is 6 mm. You are tasked with finding the length of the missing leg \( b \).

We can solve this using the **Pythagorean Theorem**, which states:

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

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

Given:
- \( a = 6 \) mm,
- \( c = 10 \) mm.

Now, substitute the values into the equation:

\[
6^2 + b^2 = 10^2
\]

\[
36 + b^2 = 100
\]

\[
b^2 = 100 - 36
\]

\[
b^2 = 64
\]

Taking the square root of both sides:

\[
b = \sqrt{64} = 8 \, \text{mm}
\]

Thus, the length of the missing leg \( b \) is **8 mm**.

Do you want more details or have any questions?

Here are 5 related questions:
1. How is the Pythagorean Theorem used to solve for the hypotenuse?
2. What happens if all sides of the triangle are unknown?
3. Can the Pythagorean Theorem be used for triangles other than right triangles?
4. What if the given sides were in different units, like cm instead of mm?
5. How would you round the answer if the result was not a perfect square?

**Tip**: The Pythagorean Theorem only applies to right triangles, so always ensure you have a 90-degree angle before using it!

What is the length of the missing leg (b) in a right triangle where the hypotenuse is 10 mm and one leg is 6 mm?

Learn how to solve for the missing leg of a right triangle using the Pythagorean theorem, where the hypotenuse is 10 mm and one leg is 6 mm. Detailed step-by-step solution provided.

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