So, I understand the formula to achieve the diagonal of a square is a variation of Pythagoras' Theorem, which is the square root of 2 times the length squared.
My exact side length is 2 + 2√3. So I input this length in the formula and I get an answer of 4√2, however, in the book the answer is 4√2+√3, with the √3 being under the first radical.
I cannot see how they are getting to this answer, any help would be fantastic.
Thanks in advance.
Hello and thanks for your reply!
I see that d=s√2 is a simplified version of the formula I wrote. Still, I'm looking at the answer in the book and it is what I wrote. I suppose it could be a typo but it was also written this way in the answer book at school. I've heard my teacher say that the book sometimes answers questions in a strange way... I guess I will have to wait until tomorrow and ask my teacher.
It is of interest that in euclid's "elements", book i proposition i, if we allow the radius to equal 1 and duplicate the equilateral triangle vertically, we have the length ascertained of sqrt(3), which is the long hi to low opposite to opposite corner diagonal of a cube.