The image you uploaded shows a right triangle with the following labeled parts:

• The vertical leg is 2.
• The horizontal leg is 7.
• The hypotenuse is 9.
• One of the angles is a right angle, and we are solving for the unknown side length labeled as $x$.

To solve for $x$, we can apply the Pythagorean theorem, which states:

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

Where:

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

In this case, we know:

• One leg is 2,
• The other leg is 7,
• The hypotenuse is 9.

Plugging in the values into the Pythagorean theorem:

$2^2 + 7^2 = 9^2$

Simplifying the equation:

$4 + 49 = 81$

$53 = 81$

This is incorrect, which means the given side lengths do not form a valid right triangle under the Pythagorean theorem. Could you please double-check the provided values or clarify the problem? Let me know if you'd like to explore an alternative approach!