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How many matchsticks are needed to form a triangle?
Make all of the possible triangles that can be made from 20 matchsticks. You must use all 20 matchsticks for each triangle. You must record which triangles you have made in some way.
How many triangles can you make with 9 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 |
|---|---|
| 7 | 2 |
| 8 | 1 |
| 9 | 3 |
| 10 | 2 |
How do you make 9 triangles out of M?
Cut the letter M to obtain 9 single triangles by drawing 3 straight lines. A single triangle is a triangle such that there is no other triangle inside it.
How many matchsticks are in the 7th 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.
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.
How many triangles can you make with 7 sticks?
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 |
|---|---|
| 18 | 7 |
| 19 | 10 |
| 20 | 8 |
How many sticks do you need to make a triangle?
Cong from St Peter’s Roman Catholic School, Aberdeen was very thorough indeed, and sent in a fantastic solution to this problem. You must have worked very hard, Cong! Cong sent us a table of all the different triangles you can make with 4 sticks up to 20 sticks.
How do you make triangles out of pebbles?
Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time? I was exploring a puzzle in which headless match sticks had to be moved to make a different number of triangles. I made it into small triangles by adding matches.
How many sticks do you need to make a table?
You must have worked very hard, Cong! Cong sent us a table of all the different triangles you can make with 4 sticks up to 20 sticks. Making a table was a very good idea.
Do you have to use a match stick?
You do not have to use match sticks (or cocktail sticks) – drawing lines will do just as well. Find a good way to record your results. See if you can predict the numbers for rows of triangles you have not drawn. When you have done all you can with triangles, see if you get the same sort of results with squares.