What is the numerical value of the product of the lengths of all diagonals of a regular pentagon of side length 1?
+14995 What is the numerical value of the product of the lengths of all diagonals of a regular pentagon of side length 1?
Hello Guest!
\(\alpha=\frac{180°-72°}{2}=54°\\ sin\ \alpha =\frac{d}{2\cdot 1}\\ d=2\ sin\ \alpha=2\ sin\ 54°\)
\(d=1,618\)
The numerical value of the product of the lengths of all diagonals is \(1.618^5=11.09\)
!
