Pythagoras Theorem Fbf844

1. The problem is to understand the Pythagoras theorem. 2. The Pythagoras theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. 3. The formula is $$c^2 = a^2 + b^2$$ where $c$ is the hypotenuse and $a$ and $b$ are the other two sides. 4. This means if you know the lengths of any two sides of a right triangle, you can find the third side using this formula. 5. For example, if $a = 3$ and $b = 4$, then $$c^2 = 3^2 + 4^2 = 9 + 16 = 25$$ so $$c = \sqrt{25} = 5$$. 6. This theorem only applies to right-angled triangles and is fundamental in geometry, trigonometry, and many real-world applications.