SAT Practiced1663b7f-c5a4-46e7-b862-f65ceef323c2

Practice one SAT question at a time

Questions come from the Bluebook question bank. Made by Iskaa303 (Iskander Madikhan).

  • Line segment upper D upper E is drawn from side upper A upper B to side upper B upper C.
  • Line segment upper B upper F is drawn from point upper B to side upper A upper C.
  • Line segment upper D upper E and line segment upper B upper F intersect at point upper O.
  • Line segment upper A upper O is drawn from point upper A to point upper O.
  • The measure of angle upper O upper A upper C is 30°.
  • A note indicates the figure is not drawn to scale.

 

In triangle A B C , AB=BC. Points D and E lie on line segments A B and B C , respectively, such that line segments D E and A C are parallel. Point O is the midpoint of line segment D E , and the measure of ∠OAC is 30°. Point F lies on line segment A C , and line segment B F passes through point O . If AB=81 and AO=BO, what is the length of line segment B E ?

Use the exact value the question expects unless it says to round.