sin theta = squre roote of 3 over 4

what is the number feared by pythagoreans, since it lies halfway between the only two intergers that can be both the perimeter and the area of the same rectangle

Here is a hint. 16 is one of the integers.

Calculate the results of

2x2
2x3
2x4
2x5 etc.

Then
3x3
3x4
3x5
3x6 etc.

Then
4x4
4x5
4x6
4x7 etc.

you will soon find your answers.

17

13

syed , this is one of the standard angles. That is, if you mean sin(theta) = sqrt(3)/2
In radians it's pi/6. Find it in degrees too.