# Move 4 sticks to make 3 Equilateral Triangles - Interview Puzzles

Interview puzzles are a type of brainteaser often used by employers during job interviews to assess a candidate's problem-solving, critical thinking, and logical reasoning abilities. These puzzles typically involve solving a challenging mathematical or logical problem or finding a pattern in a set of information. They are designed to test a candidate's ability to think creatively and outside the box, and to provide insight into how they approach complex challenges. here is a puzzle that is commonly asked in Interviews.

Puzzle Details : Suppose you have a regular hexagon made up of matchsticks with three diagonals in it. The task is to convert the given hexagon into three equilateral triangles by moving only 4 matchsticks.

A hexagon is a 6-sided, 2-dimensional geometric figure. The total of the internal angles of any hexagon is 720°. A regular hexagon has 6 rotational symmetries and 6 reflection symmetries. All internal angles are 120 degrees.

An equilateral triangle is a triangle in which all three sides and angles are equal. All three internal angles of an equilateral triangle measure 60 degrees.
Here is a regular hexagon made up of matchsticks with three diagonals in it. The task is to convert the given hexagon into three equilateral triangles by moving only 4 matchsticks.

Solution:

the solution can be achieved by Moving 2, 4, 5, and 6 numbered matches to get exactly three equilateral triangles.
• first, move matchstick 4 adjacent to matchstick 7.
• next move matchstick 6 adjacent to matchstick 8.
• next, move matchstick 5 down and connect to matchstick 6 and it forms the base for the part of the triangle.
• finally, move matchstick 2 down and connect to matchsticks 2 and 6 which form the complete base of triangle 3.

Now we can clearly see that there are 3 equilateral triangles, 2 triangles are formed with side equal single match sticks, whereas the third triangle is formed with side 2 match sticks.

watch the below video for more details.