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Can tessellation be created by using equilateral triangles?
Yes.
In the straightedge and compass construction of the equilateral triangle below reasons can you use to prove that and are congruent?
In the construction of an equilateral triangle using a straightedge and compass, you can prove that the segments are congruent by demonstrating that all sides of the triangle are created using the same radius of the compass. When you draw a circle with a center at one vertex and a radius equal to the distance to the next vertex, you ensure that each side is of equal length. Additionally, using the properties of circles, you can show that the angles formed at each vertex are congruent, reinforcing that all sides are equal, thus establishing the triangle's equilateral nature.
What triangle is 60 by 60 by 60?
A triangle with angles measuring 60 degrees each is called an equilateral triangle. In an equilateral triangle, all three sides are of equal length, and all interior angles are congruent. This type of triangle is known for its symmetry and is often used in geometry due to its unique properties. Additionally, the height of an equilateral triangle can be derived using its side length.
What is the Relation between area of an equilateral triangle and area of a regular hexagon with same sides using activity method?
In our example, the area of the equilateral triangle is 1/6 of the area of the regular hexagon
You can draw a regular hexagon using only a straightedge and compass by the first building an equilateral triangle?
True...
Can tessellation be created by using equilateral triangles?
Yes.
How do you know the measure of each angle in an equilateral triangle using what you know about equilateral triangles and the degree measure of a circle or a straight angle?
the sum of the angles of a plane triangle is always 180° In an equilateral triangle, each of the angles is = Therefore, the angles of an equilateral triangle are 60°
Can A Tessellation be created using parallelograms?
Yes it can
How do you find the height of an equilateral triangle?
By using Pythagoras' theorem
How do you find height of an equilateral triangle?
By using Pythagoras' theorem.
Could a tessellation be created using circles?
No, not normally
How do you make a sentence using equilateral?
Equilateral triangles are also equiangular.
How do you make a tessellation using a dodecagon square and triangle?
Place the dodecagons so that every third side of a dodecagon is adjacent to another. In the gaps that are formed insert four equilateral triangles so that these touch a pair of dodecagons. Finally, fill the gap between the triangles using a square.
Is it possible to construct an equilateral triangle using only a straightedge and a compass?
True
Could a tessellation could be created using circles?
true!! apex.
What is the Relation between area of an equilateral triangle and area of a regular hexagon with same sides using activity method?
In our example, the area of the equilateral triangle is 1/6 of the area of the regular hexagon
What is the height of an equilateral triangle with a length of x?
Cutting the equilateral triangle in half results in two right triangles each with a base of length x/2, and angles of 30, 60, and 90 degrees. Using the lengths of sides of a 30-60-90 triangle it can be found that the height is (x/2)√(3), which is the same as the height of the equilateral triangle.So the height of the equilateral triangle is x√(3) / 2.
