Touch Pythagoras

Features Touch Pythagoras

The Pythagorean Theorem Interactive: a^2 + b^2 = c^2App :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 = 5²5² + 12² = 13²6² + 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 = 41²11² + 60² = 61²12² + 35² = 37²13² + 84² = 85²15² + 112² = 113²16² + 63² = 65²17² + 144² = 145²19² + 180² = 181²20² + 21² = 29² 20² + 99² = 101²24² + 143² = 145²28² + 45² = 53²33² + 56² = 65²36² + 77² = 85²39² + 80² = 89²44² + 117² = 125²48² + 55² = 73²51² + 140² = 149²52² + 165² = 173²57² + 176² = 185²60² + 91² = 109²65² + 72² = 97²85² + 132² = 157²88² + 105² = 137²95² + 168² = 193²104² + 153² = 185²119² + 120² = 169²133² + 156² = 205²140² + 171² = 221²Touch Pythagoras is a part of the collection Touch Math Apps