A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, c² = a² + b², where c is the hypotenuse (the side opposite the 90° angle). Find the hypotenuse when the other 2 sides’ measurements are 6 feet and 8 feet. Answer: Show work in this space Substitute 6 for a and 8 for b c² = a² + b² c² = 6² + 8² c² = 36 + 64 c² = 100 Now take the square root of both sides: __ ___ Öc² = Ö100 c = 10 --------------------------------------------------------- Notice that you could have substituted 8 for a and 6 for b and gotten the same thing: Substitute 8 for a and 6 for b c² = a² + b² c² = 8² + 6² c² = 64 + 36 c² = 100 Now take the square root of both sides: __ ___ Öc² = Ö100 c = 10 It doesn't matter which leg is called "a" and which one is called "b", but it does matter which side is called "c", because c is always the longest side, and also the side which is opposite the 90° angle. Edwin