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3 Answers
- TomLv 75 months ago
Actually C would be the hypotenuse of a right triangle 1 unit (edge length) on its shorter side and Sqrt of 2(Side diagonal) on the other side meaning, C^2=( 1)+(Sqrt2)^2 --------C^2=3 -------- C= Sqrt3 if the edge length is 1 ----But what if C=1? what would the edge length be?
- ?Lv 75 months ago
let the side length of the cube be 1. put one corner at (0,0,0) and extend a diagonal through to (1,1,1). Using the distance formula, the length of the diagonal is sqrt(3).
if the diagonal is given as C, then the side length = C/sqrt(3)
- Daniel HLv 55 months ago
Assuming corner to corner not diagonal of one side
c^2 = a^2 + b^2
a = length of one side
b is diagonal of one side
b^2 = a^2 + a^2
b = sqrt(2)a
c^2 = a^2 + 2a^2
c^2 = 3a^2
c = sqrt(3)a
a = c/sqrt(3) = csqrt(3)/3