Equilateral Triangles using Matchsticks

You are given an equilateral triangle of three matchsticks like given figure. What is the minimum number of sticks needed to add three more equilateral triangles to it?

Answer : 3

Explanation :
Technically 4 triangles require 12 matchsticks, but we only have 6, that means each matchstick must be used in 2 triangles. So every triangle has to border 3 other triangles (one on each side).It’s a tetrahedron (a three-sided pyramid).

This article is contributed by Swapnika. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.

My Personal Notes arrow_drop_up
Article Tags :
Practice Tags :

Be the First to upvote.

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.