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It looks like you're working on a problem involving the Pythagorean theorem. Here's a breakdown of what I can see:

1. You have three sides of a right triangle:  
   - \( a = 6 \, \text{cm} \)  
   - \( b = ? \) (this is the side you're trying to find)  
   - \( c = 10 \, \text{cm} \) (the hypotenuse)  

2. The steps you've shown are the correct application of the Pythagorean theorem:

   \[
   b = \sqrt{c^2 - a^2}
   \]

   Substituting the values:

   \[
   b = \sqrt{10^2 - 6^2}
   \]

   Simplifying further:

   \[
   b = \sqrt{100 - 36} = \sqrt{64} = 8 \, \text{cm}
   \]

So, you've correctly calculated the length of side \( b \) to be 8 cm.

Would you like more details or have any questions about this problem?

Here are 5 related questions to expand your understanding:
1. What is the Pythagorean theorem, and why does it apply to right triangles?
2. How would the problem change if the hypotenuse were not the longest side?
3. Can you derive the Pythagorean theorem using similar triangles?
4. How can the Pythagorean theorem be used in 3-dimensional problems?
5. What are some real-world applications of the Pythagorean theorem?

**Tip:** When using the Pythagorean theorem, always ensure that the side labeled as the hypotenuse is indeed the longest side of the triangle.

Find the missing side of a right triangle given sides a = 6 cm and c = 10 cm.

Learn how to solve a right triangle problem by finding the missing side using the Pythagorean theorem. Given sides a = 6 cm and hypotenuse c = 10 cm, calculate the length of side b. Suitable for students in Grades 7-9.

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