In the image, we are given a right triangle with sides 17 (the hypotenuse), 13 (one of the legs), and the unknown side $x$ (the other leg). To find the missing side $x$, we can use the Pythagorean theorem:

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

where $c$ is the hypotenuse, and $a$ and $b$ are the legs.

Here:

• Hypotenuse ($c$) = 17
• One leg ($b$) = 13
• The unknown leg ($a$) = $x$

Substitute the given values into the Pythagorean theorem:

$x^2 + 13^2 = 17^2$

Now, let's solve for $x$. I'll calculate that for you.The missing side $x$ is approximately 10.95, rounded to the nearest tenth.

Would you like further details or clarifications? Here are five related questions for practice:

1. How do you use the Pythagorean theorem to find the hypotenuse if both legs are given?
2. Can the Pythagorean theorem be applied to non-right triangles?
3. How do you calculate the area of a right triangle given its legs?
4. What are the conditions for a triangle to be a right triangle?
5. How can the Pythagorean theorem be extended to three dimensions?

Tip: When rounding a number, check the digit immediately after your rounding place. If it's 5 or higher, round up!