The problem provided shows a right triangle with two known sides: one leg measuring 16 feet and the hypotenuse measuring 21 feet. You are asked to find the length of the other leg and round the result to the nearest tenth.

We can use the Pythagorean theorem for this problem, which states: $a^2 + b^2 = c^2$ Where:

• $a$ and $b$ are the lengths of the legs,
• $c$ is the length of the hypotenuse.

In this case:

• One leg is $16$ ft,
• The hypotenuse is $21$ ft.

Let's solve for the unknown side, $b$:

$16^2 + b^2 = 21^2$ $256 + b^2 = 441$ $b^2 = 441 - 256$ $b^2 = 185$ $b = \sqrt{185} \approx 13.6 \, \text{ft}$

So, the length of the unknown side is approximately 13.6 feet.

Would you like further details or have any questions?

Here are five related questions:

1. How do you apply the Pythagorean theorem in different triangle problems?
2. What happens if both legs of a right triangle are given, and you need to find the hypotenuse?
3. How do you determine whether a triangle is a right triangle using side lengths?
4. How would you solve this problem if the hypotenuse and the other leg were not whole numbers?
5. What are the conditions for applying the Pythagorean theorem?

Tip: Always verify that you're dealing with a right triangle before applying the Pythagorean theorem.