How many triangles can be made from 5 sticks?
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How many triangles can be made from 5 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….Age 7 to 11. Challenge Level.
| Number of sticks | Number of triangles |
|---|---|
| 3 | 1 |
| 4 | 0 |
| 5 | 1 |
| 6 | 1 |
Can u 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.
What is the maximum number of equilateral triangles with 5 matchstick?
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.
How many triangles can 6 matchsticks make?
4 equilateral triangles
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.
What are 5 triangles?
The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.
- An isosceles triangle is a triangle with two congruent sides and one unique side and angle.
- An equilateral triangle is a triangle with three congruent sides and three congruent angles.
Does 4 8 12 make triangles?
The sum of 4 and 8 is 12 and 12 is less than 15 . This set of side lengths does not satisfy Triangle Inequality Theorem. These lengths do not form a triangle.
Can a triangle be 5 5 10 sides?
Can any three lengths make a triangle? The answer is no. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third.
What is a triangle with 5 sides?
In geometry, a pentahedron (plural: pentahedra) is a polyhedron with five faces or sides.
Can a Pentagon be split into 5 equilateral triangles?
If we divide a pentagon into triangles as in the figure on the left below, the pentagon is made up of 3 triangles, so the angle sum is 180 + 180 + 180 = 3*180 = 540 degrees. However, the non-convex pentagon on the right is a trickier case….Angles in Isosceles Triangles.
| a | b |
|---|---|
| 36 | |
| 72 |
How do you make 4 equilateral triangles with 6 matches?
Starts here1:18Can You Solve The HARDEST Matchstick Puzzle? “Outside The …YouTube
How do you make 4 triangles with 6 matches?
How do 4 equilateral triangles form 6 matches?
Starts here2:22How to make 4 equilateral triangles using 6 art straws – YouTubeYouTube