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
[tex]x^2 = 9^2 + 12^2[/tex]
[tex]x^2 = 81 + 144[/tex]
[tex]x^2 = 225[/tex]
[tex]x = \sqrt{225} [/tex]
[tex]\boxed{x = 15}\end{array}}\qquad\quad\checkmark[/tex]
Second example:
[tex]x^2 = 10^2 + 40^2[/tex]
[tex]x^2 = 100 + 1600[/tex]
[tex]x^2 = 1700[/tex]
[tex]x = \sqrt{1700} [/tex]
[tex]\boxed{x \approx 41.23}\end{array}}\qquad\quad\checkmark[/tex]
