The equation you’ve written is the Pythagorean theorem, which relates the lengths of the sides of a right triangle. It states:

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

Where:

• $c$ is the length of the hypotenuse (the side opposite the right angle).
• $a$ and $b$ are the lengths of the other two sides of the right triangle.

This equation holds true only for right-angled triangles.

Would you like more details or examples?

Here are some related questions you might find interesting:

1. How do you solve for $a$, $b$, or $c$ in the Pythagorean theorem?
2. What is the converse of the Pythagorean theorem?
3. How does the Pythagorean theorem relate to distance in a coordinate plane?
4. Can the Pythagorean theorem be applied to three-dimensional shapes?
5. How does the Pythagorean theorem extend to non-right-angled triangles?

Tip: The Pythagorean theorem can also be used in higher dimensions, such as finding the distance between two points in 3D space.