https://file.aiquickdraw.com/mathbot/file/1725789142513n7ecet4p.jpg

The image presents a right triangle with sides labeled \( a \), \( b \), and hypotenuse \( c \), where:

- \( b = 10 \, \text{m} \)
- \( c = 20 \, \text{m} \)
- We are tasked with finding \( a \).

We can apply the **Pythagorean Theorem**, which states:

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

### Substituting the known values:

\[
20^2 = a^2 + 10^2
\]
\[
400 = a^2 + 100
\]
\[
a^2 = 400 - 100 = 300
\]
\[
a = \sqrt{300} \approx 17.32 \, \text{m}
\]

Thus, \( a \approx 17 \, \text{m} \).

Would you like further clarification or additional details?

### Related Questions:
1. What is the formula for the Pythagorean Theorem?
2. How can we verify the accuracy of this result?
3. Can the Pythagorean Theorem be applied to non-right triangles?
4. What other methods could be used to find the side of a right triangle?
5. How does the square root of a number affect the precision of an answer?

**Tip:** For right triangles, the Pythagorean Theorem is your go-to method when you know two sides!

Learn how to solve for side a of a right triangle using the Pythagorean Theorem when b = 10 m and c = 20 m. This step-by-step solution simplifies the process and is suitable for students in Grades 6-8.

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