To solve the problem, we need to find the length of side $x$ in the right triangle using the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse ($c$) is equal to the sum of the squares of the lengths of the other two sides ($a$ and $b$):

$c^2 = a^2 + b^2$

In the triangle provided:

• The hypotenuse $c = 62$
• One leg $a = 41$
• The other leg $b = x$

We need to solve for $x$:

$62^2 = 41^2 + x^2$

Calculating the squares:

$3844 = 1681 + x^2$

Subtract 1681 from both sides to isolate $x^2$:

$3844 - 1681 = x^2$

$2163 = x^2$

Now, take the square root of both sides:

$x = \sqrt{2163}$

Calculating the square root:

$x \approx 46.5$

So, the length of $x$ is approximately $46.5$.

Would you like further details or have any questions about this solution?

Here are some related questions to consider:

1. How does the Pythagorean theorem apply to non-right triangles?
2. Can you find the length of the hypotenuse if both legs are known?
3. What are some real-life applications of the Pythagorean theorem?
4. How does trigonometry relate to the Pythagorean theorem?
5. What happens to the formula if the triangle sides are not integers?

Tip: The Pythagorean theorem only applies to right-angled triangles, so always verify the angle before applying it.