Table of Contents
- 1 How do you construct an equilateral triangle angle?
- 2 How do you construct an equilateral triangle without a compass?
- 3 How many triangles can be formed using 12 Popsicle sticks?
- 4 Can we make a triangle with 5 matchsticks?
- 5 How many equilateral triangles are there in a octagon?
- 6 Can you make an equilateral triangle out of sticks?
- 7 How many sticks do you need to make a table?
How do you construct an equilateral triangle angle?
The easiest way is to use a protractor to draw three 120° angles around the center of the circle, and then connect the three points on the circle where the three angles intersect the circumference. That will result in an inscribed equilateral triangle.
How many equilateral triangles can be made?
6 equilateral triangles
Thus, the value of each angle at the center is equal to 60°. Hence, we see that all three angles of the 6 triangles formed in the given hexagon are equal to 60°. This proves that there are 6 equilateral triangles. We can thus form 6 equilateral triangles by connecting the opposite vertices of a regular hexagon.
How do you construct an equilateral triangle without a compass?
However, if you do not have a compass, you can draw the triangle without using the circle guide by measuring each side carefully with a ruler. Because each angle is related to the length of the sides as described by the Law of Cosines, when all the sides are equal, all the angles will also be equal.
How do you construct an equilateral triangle with a side of 5 cm?
Steps of construction of a triangle:
- Draw a line segment BC of length 5cm.
- Measure distance of 5 cm in compass.
- Taking C as center with the same distance i.e. 5 cm draws another arc in such a way that intersects the first arc we drew.
- Both the arcs intersect each other; name that point of intersection as A.
How many triangles can be formed using 12 Popsicle sticks?
Age 7 to 11 Challenge Level
| Number of sticks | Number of triangles |
|---|---|
| 10 | 2 |
| 11 | 4 |
| 12 | 3 |
| 13 | 5 |
How many triangles can be made with 87 sticks?
Therefore, 43 triangles are formed with 87 sticks.
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 you make 4 triangles with 6 match sticks?
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 many equilateral triangles are there in a octagon?
Four equilateral triangles made in regular octagon.
How many triangles can be formed in a octagon?
We have found that the number of triangles that can be formed by joining the vertices of an octagon is 56.
Can you make an equilateral triangle out of sticks?
In addition, Ellie, Emma, Olivia and Ibrahim from Lakeside looked at “rules” for being able to make equilateral triangles: If the number of sticks is a multiple of three, an equilateral triangle can be made because if the number is divisible by the number of sticks making each side will be the same.
How are arcs used to make an equilateral triangle?
But instead of drawing a hexagon, we use every other vertex to make a triangle instead. Since the hexagon construction effectively divided the circle into six equal arcs, by using every other point, we divide it into three equal arcs instead. The three chords of these arcs form the desired equilateral triangle.
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.
Why are all three sides of an equilateral triangle the same?
An equilateral triangle is one with all three sides the same length. It begins with a given line segmentwhich is the length of each side of the desired equilateral triangle. It works because the compass width is not changed between drawing each side, guaranteeing they are all congruent(same length).