Interesting

How many triangles can you make with 6 sticks?

How many triangles can you make with 6 sticks?

So, imagine that you have a triangle with sides of three, four and five. The longest side, five, is less than the sum of the two other sides (3+4=7)….Age 7 to 11. Challenge Level.

Number of sticks Number of triangles
6 1
7 2
8 1
9 3

How many maximum equilateral triangles can you make with 5 matchsticks?

One can arrange five match sticks to simultaneously represent two equilateral triangles, sharing one side. One can sequentially rearrange five matchsticks on a plane to form 20 unique equilateral triangles.

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How do you make a triangle with matchsticks?

But this rule is not applicable here since if we add 1 + 1 (matchsticks), it is equal to 2, which is the length of the third side of the triangle. Hence, we can make a triangle with 4 matchsticks. 3rd side=1 matchsticks. Hence, it forms an isosceles triangle.

Can we make triangle with 5 matchsticks?

5 match sticks: Two sides are equal. The sum of the two sides should be greater than the third side, that is, 2 + 2 > 1. This will form an isosceles triangle.

How many matchsticks are in the picture?

Answer: If you look closely, the middle match stick is not the reflection in the mirror, there is one, matchstick behind the lighter. One has to count them. So in total, there are eight matches.

What is the minimum number of matchsticks that are needed to create 7 triangles which are congruent?

If we want 7 triangles, those have 21 sides; to do this with 13 matchsticks, we need 8 of the matchsticks to be inside the figure (contributing to 16 sides), and 5 on the outside (contributing to 5 more sides, 21 in total).

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What least number of matchsticks do you need to make a triangle?

Hence, we can make a triangle with 4 matchsticks.

Can you arrange six matchsticks so they form four equilateral triangles?

You can use the 6 matches to form a tetrahedron which has 4 faces, each of which is an equilateral triangle.