# How to make 4 equilateral triangle using 6 equal length sticks?I have tried the following way which i think its incorrect: 1) Make a square using 4 sticks and then put 2 sticks in the form of cross...

How to make 4 equilateral triangle using 6 equal length sticks?

I have tried the following way which i think its incorrect:

1) Make a square using 4 sticks and then put 2 sticks in the form of cross inside the square....But the diagonals will be of different size according to Pythagoras theorem.....

neela | Student

To form 4 equilateral triangles with 4 sticks of equal lengths.

Let AB= BC= CD be the 3 equal sides, formed by 3 equal lengthÂ sticks. Arrange them to form an equilateral triangle

Let A'B' = B'C' = CA' be another 3 equal length sticks. Form an equilateral triangle A'B'C'.

Let D, E and F be the middle point of BC, CA and AB.

Now see that A',the vertex of the A'B'C' is on the middle point , Dof BC of the equilateral triangle ABCand the middle point of B'C' of the equilateral triangle , A'B'C'coincides with the vertex A of the ABC. (The two congruent equilateral triangles, are super imposed: The vertex A of the one up and thein the other the vetrexA' inverted down.)

A' coincides with D.

Now triangles, BDF (Or BA'F, as A' and D coincides), DCE ,AEB' and AC'F are the 4 coplanar equilateral triangles.