Can you explain the Pythagorean theorem?

Can you explain the Pythagorean theorem?

Sure! The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It's usually written as a² + b² = c².

Can you give me an example using numbers?

Of course! If one side of the triangle is 3 units and the other side is 4 units, you can calculate the hypotenuse like this: 3² + 4² = c², which means 9 + 16 = c², so c² = 25. Therefore, c = 5.

What if I have a triangle with sides 5 and 12?

Using the same formula, you would calculate: 5² + 12² = c², which is 25 + 144 = c², so c² = 169. Thus, c = 13.

Can this theorem be used in real life?

Absolutely! It's used in construction, navigation, and even in computer graphics to calculate distances.