Using the Pythagorean Theorem to Find the Length of the Hypotenuse in a Right Triangle

To find the length of the hypotenuse (c) in a right triangle, you can use the Pythagorean Theorem:

[ a^2 + b^2 = c^2 ]

Where ( a ) and ( b ) are the lengths of the two shorter sides of the triangle. Simply substitute the lengths of the two shorter sides into the formula and solve for ( c ). This theorem is incredibly useful in solving real-world problems and is an essential concept in geometry.