The triangle in the image is a right triangle with sides 24 and 25. To find the third side, we can apply the Pythagorean theorem, which is expressed as:

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

Where:

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

From the image, we see that the hypotenuse is 25 (since it's opposite the right angle), and one of the legs is 24. Let's solve for the missing side (denoted as $x$).

$x^2 + 24^2 = 25^2$

I'll now calculate the missing side.The length of the third side is 7.0 units.

Would you like any further details on this problem?

Here are some related questions:

1. What if the triangle had a different hypotenuse value, how would that change the result?
2. How does the Pythagorean theorem apply to non-right triangles?
3. Can the Pythagorean theorem be used in three dimensions, and if so, how?
4. How does rounding to the nearest tenth work when dealing with irrational numbers?
5. What is the relationship between this triangle and a Pythagorean triple?

Tip: When solving right triangles, always ensure you correctly identify the hypotenuse before applying the Pythagorean theorem.