Is The Pythagorean Theorem Wrong The Staircase Paradox Says It Is This

Is The Pythagorean Theorem Wrong The Staircase Paradox Says It I The pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the sides. but this video says the hypotenuse is simply the s. Is pythagoras theorem wrong? staircase paradox 5=3 4the pythagoras theorem states that the square of the hypotenuse is equal to the sum of the squares of the.

Is There A Version Of The Staircase Paradox Where Instead Of The The pythagorean theorem says the square of the hypotenuse is equal to the sum of the squares of the sides. but this video says the hypotenuse is simply the s. 566. this question is usually posed as the length of the diagonal of a unit square. you start going from one corner to the opposite one following the perimeter and observe the length is 2, then take shorter and shorter stair steps and the length is 2 but your path approaches the diagonal. so √2 = 2. Look at the first staircase and draw the diagonal. this gives two new triangles and the sum of the length of those two diagonals is the length of the original diagonal. extending this to staircases with n steps, just shows how you can get n triangles with this property. the question what the length of the original diagonal is (and all the. The staircase paradox is one of those challenges that deeply questions our fundamental logic. it is a geometrical problem that has occurred in varying forms over the years in mathematical circles.

The Staircase Paradox Paradox That Disproves Pythagoras Theorem 5 Look at the first staircase and draw the diagonal. this gives two new triangles and the sum of the length of those two diagonals is the length of the original diagonal. extending this to staircases with n steps, just shows how you can get n triangles with this property. the question what the length of the original diagonal is (and all the. The staircase paradox is one of those challenges that deeply questions our fundamental logic. it is a geometrical problem that has occurred in varying forms over the years in mathematical circles. The staircase paradox has made me think a lot lately. of the hypotenuse using the pythagorean theorem, we get a length of 4√2 cm instead of 8 cm. do not tangentially approach the. The staircase paradox i know which step is mathematically illogical. however, i have not completely understood why this is wrong from a physical perspective, so i bet that this paradox will stump even a few math teachers.