Rectangle Triangles (using MathML)
Integer triangles and respective smallest angles.
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Trigonometric Functions
More Rectangle Triangles (without MathML)
"i" is a non-negative integer.
(3+2i)2+[2(i+1)(i+2)]2
=[1+2(i+1)(i+2)]2 |
132+842=852 |
152+1122=1132 |
(4+4i)2+[(2i+1)(2i+3)]2
=[2+(2i+1)(2i+3)]2 |
162+632=652 |
202+992=1012 |
Nothing new here:
92+122=152
152+362=392 |
212+722=752 |
272+1202=1232 |
Add-On (with images)
Both perpendicular sides of any integer rectangle triangle have
lengthes related by the following equation:
where N is an integer (check the following graph).