Question

DABC be a tetrahedron such that AD is perpendicular to the base ABC and ∠ABC = 30. The volume of tetrahedron is 18. If value of AB + BC + AD is minimum then length of AC is

(A) 3(√6 -√3)

(B) 3(√6 - √2)

(C) 2(√6 - √3)

(D) 2(√6 -√2)

Answer 1

Correct option (B) 3(√6 - √2)

Explanation:

v = 1/3 AD 1/2