An equilateral triangle is divided into smaller equilateral triangles.
The diagram on the left shows that it is possible to divide it into equilateral triangles. The diagram on the right shows that it is possible to divide it into equilateral triangles.
What are the integer values of , where , for which it is possible to divide the triangle into smaller equilateral triangles?
Sign in or create an account to reveal answers, view the solution, and save your progress. Create a free account to unlock practice and keep track of your work.
Junior Mathematical Olympiad 2019 (2019)
One puzzle per day. Cryptarithm, Magic Square, Summit. No sign-up required to play.
Play daily puzzle →Interactive problems and curated lessons—water pouring, magic squares, knight's tour, and more.
Browse library →See how you rank. Top solvers by problems solved correctly. Sign in to climb the ranks.
View leaderboard →Junior Mathematical Olympiad 2019 (2019)