The Pythagorean Theorem states that: "the sum of the squares of the legs is equal to the square of the hypotenuse."
a² + b² = c² or c² = a² + b²
Note¹: Hypotenuse is the side opposite the right angle.
Note²: The legs are the sides that are not opposite the right angle.
Examples: (Use the attachments for better understanding:)
*First example
\(x^2 = 9^2 + 12^2\)
\(x^2 = 81 + 144\)
\(x^2 = 225\)
\(x = \sqrt{225}\)
\(\boxed{x = 15}\end{array}}\qquad\quad\checkmark\)
Second example:
\(x^2 = 10^2 + 40^2\)
\(x^2 = 100 + 1600\)
\(x^2 = 1700\)
\(x = \sqrt{1700}\)
\(\boxed{x \approx 41.23}\end{array}}\qquad\quad\checkmark\)
