The image shows a right triangle with one leg measuring 7 units and the other leg measuring 8 units. To find the length of the third side (the hypotenuse), you can use the Pythagorean theorem:

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

Where:

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

Substituting the given values:

$c^2 = 7^2 + 8^2$ $c^2 = 49 + 64$ $c^2 = 113$ $c = \sqrt{113} \approx 10.6$

So, the length of the hypotenuse is approximately 10.6 units.

Would you like more details on this calculation or have any questions?

Here are 5 related questions for practice:

1. If the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
2. How do you determine the length of the third side if the hypotenuse and one leg are known?
3. Can the Pythagorean theorem be used in any triangle?
4. What is the perimeter of the triangle in the problem?
5. How would the calculation change if the triangle was not a right triangle?

Tip: Always verify if a triangle is a right triangle before using the Pythagorean theorem.