🏁 This page has been validated by wikipedia on 20230428 at 00:00:01.
Related pages: ðŸ‡«ðŸ‡· DÃ©monstration
This page illustrates how the rendering of the pages looks like online.
1. Pythagorean theorem
1.1. Definition
In mathematics, the Pythagorean theorem is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
This theorem can be written as an equation relating the lengths of the sides a
, b
and c
, often called the Pythagorean equation: ^{1}
\[a^2 + b^2 = c^2\]
Another technical notation is: a^{2}+b^{2}=c^{2}.
1.2. Visual representation
The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).
The following picture is integrated in SVG format in the page as HTML:
1.3. Values
1  2  3  4  5  6  7  8  9  10  

1  1,41  
2  2,24  2,83  
3  3,16  3,61  4,24  
4  4,12  4,47  5,00  5,66  
5  5,10  5,39  5,83  6,40  7,07  
6  6,08  6,32  6,71  7,21  7,81  8,49  
7  7,07  7,28  7,62  8,06  8,60  9,22  9,90  
8  8,06  8,25  8,54  8,94  9,43  10,00  10,63  11,31  
9  9,06  9,22  9,49  9,85  10,30  10,82  11,40  12,04  12,73  
10  10,05  10,20  10,44  10,77  11,18  11,66  12,21  12,81  13,45  14,14 
Exercise: if a=3 and b=5, then c=... ?
c = âˆš34 â‰ˆ 5,83
2. Script
2.1. Python
from math import sqrt
try:
a = float(input('Value of a = '))
b = float(input('Value of b = '))
c2 = a ** 2 + b ** 2
print('c = %.2f' % sqrt(c2))
except ValueError:
print('Invalid value')
2.2. JavaScript
var a = parseFloat(prompt('Value of a =', '2')),
b = parseFloat(prompt('Value of b =', '3'));
alert('c = ' + Math.sqrt(a*a + b*b));
3. See also
4. Notes

Judith D. Sally; Paul Sally (2007). "Chapter 3: Pythagorean triples". Roots to research: a vertical development of mathematical problems. American Mathematical Society Bookstore. p. 63. ISBN 9780821844038.Â â†©
Attached documents
Revision #1 was last modified by gitbra
on 20230428 at 00:00:00 — e76a43ca84dfd768