The image you've uploaded shows a right triangle where the sides are labeled with lengths, and we need to solve for the unknown side, $x$.

From the labels in the image:

• One leg is 12.8 ft,
• The other leg is 23 ft,
• The hypotenuse is 26.6 ft, and
• $x$ represents the length of the missing side.

We can use the Pythagorean theorem to solve for $x$. The theorem states:

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

where:

• $a$ and $b$ are the two legs of the right triangle,
• $c$ is the hypotenuse.

In this case:

• $a = 23$ ft,
• $b = 12.8$ ft,
• $c = 26.6$ ft.

We will solve for $x$ by rearranging the equation. Let me perform the calculation for you. math

Given values

a = 23 # one leg of the triangle b = 12.8 # the other leg of the triangle c = 26.6 # the hypotenuse

Using the Pythagorean theorem to calculate the missing side

x = math.sqrt(c2 - a2) xThe missing side, $x$, is approximately 13.36 feet.

If you need any further explanation or additional help, feel free to ask!

Here are 5 related questions to explore:

1. How do you derive the Pythagorean theorem for different types of triangles?
2. What happens if the triangle is not a right triangle? How do you calculate the sides then?
3. Can the Pythagorean theorem be applied in 3D geometry?
4. How do you use the Pythagorean theorem in real-world applications, like construction or navigation?
5. What are some variations or extensions of the Pythagorean theorem, like the Law of Cosines?

Tip: Always ensure the triangle is a right triangle before applying the Pythagorean theorem!