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# What are a score or more facts about an equilateral triangle and its properties?

Updated: 12/16/2022

Wiki User

10y ago

1 It's a 3 sided 2 dimensional shape with 3 vertices

2 It belongs to the class of polygons known as triangles

3 Its 3 sides are equal in length

4 It has 3 interior angles each measuring 60 degrees

5 Its interior angles add up to 180 degrees in common with other triangles

6 Its 3 exterior angles add up to 360 degrees

7 It has 3 lines of symmetry

8 It has rotational symmetry to the order of 3

9 It has no diagonal lines, perpendicular lines or parallel lines

10 It has a perimeter which is the sum of its 3 sides

11 It has an area which is 0.5*base*altitude

12 It can be split into 2 right angle triangles

13 It can tessellate leaving no gaps or overlaps

14 It's subjected to Pythagoras' theorem

15 It's subjected to the rules of trigonometry

16 Its best friends are scalene, obtuse, right angle and isosceles triangles

17 It can form the cross-section of a triangular prism

18 It can form the base of a tetrahedron pyramid

19 It can be doubled up into a 4 sided quadrilateral

20 It fits perfectly within a circle

21 Its point of equilibrium or balance is at its centre

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Q: What are a score or more facts about an equilateral triangle and its properties?
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### What are a score or more facts relevant to the geometrical triangle and its properties?

I suggest you take a look at the Wikipedia article on "triangle", or at some similar source. I am sure you can find lots of interesting facts there.

### What are a score or more facts and features of a triangle and its properties?

1 It's a 3 sided polygon which means many sides 2 Its sum of its 2 smaller sides is greater than its longest side 3 It has no parallel sides 4 It has no diagonals 5 It has 3 interior angles that add up to 180 degrees 6 It has 3 exterior angles that add up to 360 degrees 7 It can be a scalene triangle 8 It can be an obtuse triangle 9 It can be an isosceles triangle 10 It can be an equilateral triangle 11 Its longest length is opposite to its largest angle 12 Its hypotenuse is its largest length as a right angle triangle 13 It brought fame to the ancient Greek mathematician Pythagoras 14 Its hypotenuse when square is equal to the sum of its squared sides 15 Its smallest angle is opposite to its shortest side 16 It will tessellate leaving no gaps or overlaps 17 It's a right angle triangle when it has a 90 degree angle and 2 acute angles 18 It can be both an isosceles triangle and a right angle triangle 19 It has a perimeter which is the sum of its 3 sides 20 It has an area which is: 0.5*base*perpendicular altitude 21 Its area is also: 0.5*a*b*sin(A) whereas a and b are sides and A is included angle 22 It's subjected to the rules of trigonometry 23 It's the 1st and foremost building block of other polygons 24 Its 3 corners are vertices which is plural for vertex 25 It has 1 line of symmetry as an isosceles triangle 26 It has 3 lines of symmetry as an equilateral triangle 27 It has rotational symmetry to the order of 3 as an equilateral triangle 28 it's a 2 dimensional shape 29 It can be the base of a 3 dimensional pyramid 30 It can be doubled up to form a 4 sided quadrilateral

### What are a score or more facts about the triangle and its properties?

1 It's a 3 sided 2 dimensional shaped polygon 2 It has no diagonals 3 Its largest side is less than the sum of its smaller sides 4 Its 3 interior angles add up to 180 degrees 5 Its 3 exterior angles add up to 360 degrees 6 It will tessellate leaving no gals or overlaps 7 It has a perimeter which is the sum of its 3 sides 8 It has an area which is: 0.5*base*perpendicular altitude 9 It's the 1st building block of all other polygons 10 It can form the base of a 3 dimensional pyramid 11 It has 3 vertices which is the plural of vertex 12 It's a right angle triangle when it has a 90 degree angle 13 It's an obtuse triangle when it has an angle greater than 90 degrees 14 It's a scalene triangle when it has 3 different acute angles 15 It's an equilateral triangle when it has 3 equal 60 degree angles 16 It is an isosceles triangle when it has 2 equal sides 17 It's subject to the rules of trigonometry 18 It's subject to Pythagoras' theorem as a right angle triangle 19 Its tangent ratio is: opp/adj as a right angle triangle 20 It sine ratio is: opp/hyp as a right angle triangle 21 Its cosine ratio is: adj/hyp as a right angle triangle 22 Its hypotenuse squared is equal to the sum of its squared sides as right triangle 23 Its properties were well known by the ancient Greeks and Egyptians 24 It can form the cross-section of a triangular prism 25 It has certain cyclic properties within a circle

### What are a score or more facts about the properties of a triangle?

1 It's a 3 sided 2 dimensional polygon 2 It has no diagonals 3 Its largest side is less the sum of its smaller sides 4 Its 3 interior angles add up to 180 degrees 5 Its 3 exterior angles add up to 360 degrees 6 It will tessellate leaving no gaps or overlaps 7 It has a perimeter which is the sum of its 3 sides 8 It has an area which is 0.5*base*perpendicular altitude 9 It can form the base of a tetrahedron pyramid 10 It is the 1st building block of all other polygons 11 It has 3 vertices which is the plural of vertex 12 It's a right angle triangle when it has a 90 degree angle 13 It's an obtuse triangle when it has an obtuse angle and 2 different acute angles 14 It's a scalene triangle when it has 3 different acute angle 15 It's an equilateral triangle when it has 3 equal sides 16 It's an isosceles triangle when it has 2 equal sides 17 It's subject Pythagoras' theorem as a right angle triangle 18 It's subject to the rules of trigonometry 19 Its tangent ratio is: opp/adj as a right angle triangle 20 Its sine ratio is: opp/hyp as a right angle triangle 21 Its cosine ratio is: adj/hyp as a right angle triangle 22 Its hypotenuse squared is equal to the sum of its squared sides as right angle triangle

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### What are a score or more facts and features relating to an equilateral triangle?

1 It's a 2 dimensional 3 sided shape2 It belongs to the class of polygons known as triangles3 Its sides are equal in length4 It has 3 equal interior angles each measuring 60 degrees5 It has 3 equal exterior angles each measuring 120 degrees6 It has no diagonals7 It has 3 lines of mirror symmetry8 It has rotational symmetry to the order of 39 It has a perimeter which is the sum of its 3 sides10 It has an area which is 0.5*base*height11 Its area can also be calculated as 0.5*side squared*sin(60)12 It can be split into 2 right angle triangles13 It can be used in conjunction with Pythagoras' theorem14 It can be doubled up into a quadrilateral15 It can be circumscribed within a cicle16 Its classification is also known as a regular polygon17 Its best friend is the equilateral triangular pyramid18 It can be subjected to trigonometry19 It's always congruent or similar to other equilateral triangles20 It can be subjected to algebra21 Its main claim to fame is that as a triangle other polygons are made from it

### What are a score or more facts about the properties of angles and triangles?

1 Angles are measured in degrees, minutes and seconds 2 Angles greater than 0 but less than 90 degrees are acute 3 Angles of 90 degrees are right angles 4 Angles greater the 90 but less than 180 degrees are obtuse 5 Angles greater than 180 but less than 360 degrees are reflex 6 Angle of 360 degrees is a full rotation 7 Triangles are 3 sided polygons 8 Triangles have 3 inside angles that add up to 180 degrees 9 Triangles have 3 outside angles that add up to 360 degrees 10 Triangle that is scalene has 3 different acute angles 11 Triangle that is a right angle triangle has a 90 degree angle and 2 acute angles 12 Triangle that is obtuse has 1 obtuse angle and 2 acute angles 13 Triangle that is isosceles has 2 equal base angles and 2 equal sides 14 Triangle that is equilateral has 3 equal inside angles and 3 equal sides 15 Triangles have no diagonals 16 Triangles will tessellate leaving no gaps or overlaps 17 Triangle's area is 0.5*base*perpendicular height 18 Triangle's perimeter is the sum of its 3 sides 19 Triangle as a right angle triangle is subject to Pythagoras' theorem 20 Triangles are subject to the rules of trigonometry 21 Triangles are the corner stones of all other polygons

### What are a score or more facts that a square and a rectangle have in common?

A square is a special type of rectangle; therefore it has all the properties of a rectangle. Any property that a rectangle has, a square has as well. This includes the facts that it has four right angles (that's where the name "rectangle" comes from), that opposite sides are parallel, that opposite sides have the same length, and that diagonals have the same length.

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