IMC 2018 Q15
15. How many of these four shapes could be the shape of the region where two triangles overlap?
equilateral triangle square regular pentagon regular hexagon
- A 0
- B 1
- C 2
- D 3
- E 4
Intermediate Mathematical Challenge 2018, Question 15. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 4
The diagrams show that all four options could be the shape of the region where two triangles overlap.
Solution © UK Mathematics Trust, from the IMC 2018 solutions. Longer versions with investigations: Solutions and investigations (PDF).