The Pythagorean Theorem Interactive: a^2 + b^2 = c^2 App : change the lengths of the legs (dragging). change the length of the hypotenuse with two fingers. zoom (pinch zoom) and rotate the figure (dragging). There are 6 ways to view the Pythagorean theorem. - Unit surfaces. - Two equivalent square containing the same surface. - The square for each leg in the square of the hypotenuse (Euclid) - Pingi - Dudeney proof. - Da Vinci. - Bhaskara reasoning. Change the precision of the lengths. (In the contextual menu) This application is also a small laboratory to investigate about the Pythagorean Theorem: For example, you can experiment easily, looking for the exact solutions of the Pythagorean Theorem: 3² + 4² = 5² is not the only exact solution: Below 21, there are 3 primitive triples: 3² + 4² = 5² 5² + 12² = 13² 6² + 8² = 10² (Not a true primitive result: Multiple of 3,4,5) 8² + 15² = 17² 9² + 12² = 15² (Not a true primitive result: Multiple of 3,4,5) 12² + 16² = 20² (Not a true primitive result: Multiple of 3,4,5) Likewise it is also possible to find the solutions below 31 (11 solutions in all: but only 5 primitives) Or solutions below 101 (52 solutions in all: but only 16 primitives) More primitive pythagorean triples: 9² + 40² = 41² 11² + 60² = 61² 12² + 35² = 37² 13² + 84² = 85² 15² + 112² = 113² 16² + 63² = 65² 17² + 144² = 145² 19² + 180² = 181² 20² + 21² = 29² 20² + 99² = 101² 24² + 143² = 145² 28² + 45² = 53² 33² + 56² = 65² 36² + 77² = 85² 39² + 80² = 89² 44² + 117² = 125² 48² + 55² = 73² 51² + 140² = 149² 52² + 165² = 173² 57² + 176² = 185² 60² + 91² = 109² 65² + 72² = 97² 85² + 132² = 157² 88² + 105² = 137² 95² + 168² = 193² 104² + 153² = 185² 119² + 120² = 169² 133² + 156² = 205² 140² + 171² = 221² Touch Pythagoras is a part of the collection Touch Math Apps