SAT Math Practice Question #25188 - SATify | SATify

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SAT Math Practice Question #25188 - SATify | SATify

#25188

combinatorics

geometry

hard

120 sec

Given the six-sided regular polygon $A_{1} A_{2} A_{3} A_{4} A_{5} A_{6}$ , how many distinct equilateral triangles in the plane of the polygon have at least two vertices in the set $A_{1}, A_{2}, \dots, A_{6}$ ?

A.

24

B.

26

C.

28

D.

30

E.

32