Understanding the Pythagorean Theorem
Right triangles have one 90° angle (marked with a small square) and three sides: two shorter sides called legs (labeled "a" and "b") and one longer side called the hypotenuse (labeled "c"). The hypotenuse is always opposite to the right angle.
The Pythagorean Theorem states that . In other words, if you square the lengths of both legs and add them together, you'll get the square of the hypotenuse. This powerful relationship works for every right triangle, no matter its size!
When you know two sides of a right triangle, finding the third is easy. For example, if leg a = 3 feet and leg b = 4 feet, you can find the hypotenuse by plugging these values into the formula: . Since , taking the square root gives us c = 5 feet.
Math Magic! The 3-4-5 triangle is a special right triangle where the sides form a perfect Pythagorean triple. Whenever you see these numbers as the sides of a triangle, you know it's a right triangle!
