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equilateral and similar
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When is an equilateral triangle not equiangular?
If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.
Are Equiangular triangles similar triangles?
Similar triangles are those which have the same set of 3 angles but the length of their sides is perhaps different - in other words they are exactly the same SHAPE but they are different size. Equilateral triangles have all 3 angles equal ( all 60degrees) so the answer is YES.
What shape is a equiangular?
Equiangular just means that all of the angles are the same, but the term is most often used to describe an equilateral triangle.
What are the names of all the types of triangles?
Isosceles, right, acute, obtuse, scalene, equilateral, (anyone else feel free to tag on) equiangular
If a polygon has equal sides does it have equal angles?
The answer is no. It is true of triangles, but not necessarily of other polygons. A good counterexample is the Rhombus. You can define a Rhombus as a quadrilateral with 4 congruent ( equal) sides. However, only the opposite angles are equiangular, not all 4 angles. Picture, if you will, a very elongated Rhombus to easily see this. The only equiangular Rhombus is the Square. Many regular polygons are equiangular but not all.
Are all equiangular triangles similar?
Yes.
Are all equiangular triangles congruent?
All equiangular triangles are similar, but not congruent. They all have three 60 degree angles. This does not mean that they all have the same side lengths though. Therefore, they are only similar, not congruent.
When is an equilateral triangle not equiangular?
If a triangle is equiangular, it will have all equal angles. So, it might be similar to another equiangular triangle, but not congruent. It is not equilateral if the sides are not equal in length. All equiangular triangles are similar, but not all of them are congruent, which means they do not all have corresponding side lengths. But, all equilateral triangles are equiangular.
Are Equiangular triangles similar triangles?
Similar triangles are those which have the same set of 3 angles but the length of their sides is perhaps different - in other words they are exactly the same SHAPE but they are different size. Equilateral triangles have all 3 angles equal ( all 60degrees) so the answer is YES.
Are equilateral triangles equiangular?
Yes, all the angles of an equilateral triangle are always 60 degrees.
What shape is a equiangular?
Equiangular just means that all of the angles are the same, but the term is most often used to describe an equilateral triangle.
How do you make a sentence using equilateral?
Equilateral triangles are also equiangular.
What are the names of all the types of triangles?
Isosceles, right, acute, obtuse, scalene, equilateral, (anyone else feel free to tag on) equiangular
How many acute angles can a triangle contain?
3, as in equiangular triangles, where all angles are 60 degrees, adding up to 180, simple math really
What is the difference between eguiangular and equilateral triangles?
An equiangular triangle has 3 equal angles inside it. Since the angles of every triangle add up to 180 degrees, each angles of an equiangular triangle is 60 degrees. An equilateral triangle has all of its 3 sides the same length. Here's an extra mind-boggling factoid: Every equiangular triangle is equilateral, and every equilateral triangle is equiangular.
No right triangle is equiangular?
a triangle's has 3 angles and they all always add up to 180. for a triangle to have all angles be the same each angle must be 60 degrees. if one of them were 90 degrees, then the other 2 angles would have to be 90 degrees in order to keep it equiangular. if you add up these three angles, you will get 270 degrees. this is impossible. no right triangles can be equiangular
If a polygon has equal sides does it have equal angles?
The answer is no. It is true of triangles, but not necessarily of other polygons. A good counterexample is the Rhombus. You can define a Rhombus as a quadrilateral with 4 congruent ( equal) sides. However, only the opposite angles are equiangular, not all 4 angles. Picture, if you will, a very elongated Rhombus to easily see this. The only equiangular Rhombus is the Square. Many regular polygons are equiangular but not all.
