The rules are simple: using 6 matchsticks, create 4 equilateral triangles. All 4 triangles have to be the same size, and the sides of each triangle have to be one matchstick long. It sounds impossible, and 99% of the time the mark will just give up.
How do you make a 4 matchstick triangle?
Hence, we can make a triangle with 4 matchsticks. 3rd side=1 matchsticks. Hence, it forms an isosceles triangle. 3rd side=2 matchsticks….
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How many triangles can you make with 6 toothpicks?
If the number of sticks is a multiple of three, an equilateral triangle can be made because if the number is divisible by 3 the number of sticks making each side will be the same. Well done for these fantastic solutions and observations!…Age 7 to 11. Challenge Level.
| Number of sticks | Number of triangles |
|---|---|
| 6 | 1 |
| 7 | 2 |
| 8 | 1 |
| 9 | 3 |
How many equilateral triangles fit in a square?
Four Equilateral Triangles
Four Equilateral Triangles inside a Square.
Can we make a triangle with 5 matchsticks?
If you cannot make a triangle, think of reasons for it. This is a square, hence with four matchsticks, we cannot make triangle. (c) 5 matchsticks. This is an acute angle triangle and it is possible to make a triangle with five matchsticks, in this case, sum of two sides is greater than third side.
Can we make a triangle with 3 matchsticks?
If you cannot make a triangle, think of reasons for it. This is an acute angle triangle and it is possible with 3 matchsticks to make a triangle because sum of two sides is greater than third side. This is a square, hence with four matchsticks, we cannot make triangle.
Can you make a triangle with 5 matchsticks?
(c) With the help of 5 matchsticks, we can make an isosceles triangle. Since, we get two sides equal in this case.
How to make 4 congruent triangles with 6 matches in 2?
In addition to Question Asker’s answer, here is another solution that satisfies the constraints: Three more solutions; Number one, like Rod’s, extends to X triangles with X+2 matches, when X is even. Based loosely on Question Asker’s answer.
How to make 4 equilateral triangles with matchsticks?
3 Triangles to 4 Move 3 matches to make 4 equilateral triangles, no overlapping – puzzle solution 4 Squares to Many Take this arrangement and with the following moves:- Move 2 matches to make 7 squares – puzzle solution Remove 2 matches and leave 2 squares – puzzle solution Move 3 matches and leave 3 squares – puzzle solution
Are there any other equilateral triangles you can make?
No other triangles may be created when you are done. Matches may not be bent, torn, or separated into other matches. Match ends do not necessarily have to join other match ends. Specifically speaking, certain match ends might be free-standing. Matches may rest across/intersect other matches.
How are the angles of an equilateral triangle congruent?
Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral. Created by Sal Khan. This is the currently selected item. Want to join the conversation? Posted 7 years ago.
