3 sided prism
Geometry
Level
2
A 3 sided prism on a basr trainagle of side b has the sides of length l.What is the minimum value of l for such prism to possible?
b/2
b/3
2b
b/(/sqrt{3})
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1 solution
Let the height of the prism be h. Then l^2=(1/3)b^2+h^2. Since a squared number is non-negative definite, minimum of l is b/(√3).