Imagine any rectangular cube say with side lengths x,y and z
There will be 3 diagonals -we can call them as a,b and c
It will be very difficult to find values of x,y and z so that the diagonal lengths
a,b and c have integral values.
There is a complicated formula to find such values-
Here are some examples of such values-
Example 1) side lengths 44,117 and 240 .The diagonals have values 125,244 and 267
Example 2) side lengths 352, 936 and 1920. The diagonals have values 1000,1952 and 2136.
Example 3) side lengths 828,2035 and 3120.The diagonals have values 2197,3228 and 3725.
There will be 3 diagonals -we can call them as a,b and c
It will be very difficult to find values of x,y and z so that the diagonal lengths
a,b and c have integral values.
There is a complicated formula to find such values-
Here are some examples of such values-
Example 1) side lengths 44,117 and 240 .The diagonals have values 125,244 and 267
Example 2) side lengths 352, 936 and 1920. The diagonals have values 1000,1952 and 2136.
Example 3) side lengths 828,2035 and 3120.The diagonals have values 2197,3228 and 3725.
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