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!