The image shows a right triangle with one leg labeled as 3 units and the other as 7 units. To find the hypotenuse (the longest side of the triangle), we can apply the Pythagorean theorem, which states:

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

Where $c$ is the hypotenuse, and $a$ and $b$ are the legs of the triangle. In this case:

• $a = 3$
• $b = 7$

Now, let's calculate the hypotenuse.The length of the hypotenuse is approximately $7.62$ units.

Would you like more details or have any questions about this?

Here are some related questions for further exploration:

1. How do you apply the Pythagorean theorem in real-life scenarios?
2. What are the properties of right triangles and their applications?
3. Can the Pythagorean theorem be extended to three-dimensional shapes?
4. How do trigonometric ratios (sine, cosine, and tangent) relate to right triangles?
5. What are some other methods to calculate the hypotenuse besides the Pythagorean theorem?

Tip: Always verify that the triangle is right-angled before using the Pythagorean theorem.