IKMC 2027 - Grades 11-12 - Self-study SET 10 - Thematic Batch 3 Question 14

Question 14

Square ABCD has side 12. Points E and F lie on BC and CD respectively, with ∠EAB=15° and ∠FAD=30°. What is the area of triangle AEF?

Question illustration

48(3 − $\sqrt{3}$)
12$\sqrt{3}$($\sqrt{3}$ − 1)
48(2$\sqrt{3}$ − 3)
12(3$\sqrt{3}$ − 4)
A different result