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What is the difference between an equilateral triangle and an equiangular triangle?
They are the same. If the sides of a triangle are all the same length, then its angles are all 60 degrees, and the reverse is also true.
Can a polygon be equilateral but not Equiangular?
A polygon cannot be equilateral but not equiangular because in the definiton of a regular polygon which is a polygon that is both equiangular and equilateral you see that you cannot have one without the other. As long as a polygon is equilateral it is also equilangular and vice versa. ARBETTES: You cannot have both in all polygons. In all triangles this is true. If a triangle is equilateral then it is equiangular. However, let's take a known quadrilateral: Rhombus. The definition of a Rhombus is that it has all equal sides. That's it. It's oppsite angles have to be congruent, but they do not all have to be 90 degrees.
How many sides does an equilateral triangle have?
All triangles have exactly three sides. This is true whether the triangle is equilateral or not. If the triangle is equilateral, then the three sides will all be equal in length.All triangles have three sides.
An equilateral triangle has equal sides and equal angles is that True or False?
True
A scalene triangle can be equilateral True or False?
False, because scalene means different lengths and equilateral means same length
Is a triangle a small regular polygon?
A regular polygon is any polygon that has sides which are the same length and angles whose measures are equal. An equilateral triangle (also equiangular triangle) is a regular polygon. Other isosceles triangles (equilateral triangles are isosceles, but they are an exception) and scalene triangles are not regular polygons. A side note: Only in a triangle is a polygon regular solely if it is equilateral. (Since an equilateral triangle is equiangular as well). This is NOT always true in other polygons, like quadrilaterals, where it can be equilateral but not necessarily equiangular (a rhombus) or equiangular but not equilateral (a rectangle).
Is it true that a regular polygon is always equiangular and equilateral?
Yes, by definition. If it not equilateral AND equiangular, then it is not regular.
What is the difference between an equilateral triangle and an equiangular triangle?
They are the same. If the sides of a triangle are all the same length, then its angles are all 60 degrees, and the reverse is also true.
Is a rhombus equalateral?
A rhombus has 4 equal sides but its 4 interior angles are not equal as in the case of a square which also has 4 equal sides The above answer is true but incomplete. The word, equilateral, means "with sides of the same length" and, to that extent, a rhombus is equilateral. However, it is not equiangular. A triangle is is equilateral if and only if it is equiangular and this had (unfortunately) resulted in the words being used interchangeably. A polygon, with 4 or more sides can be equilateral without being equiangular of it can be equiangular without being equilateral. So, a rhombus is equilateral but not equiangular.
Is it true that regular polygons are both equilateral and equiangular?
Yes, regular polygons have equal side lengths and equal interior angles as for example an equilateral triangle or maybe a square.
Regular polygons are both equiangular and equilateral?
True.
An equiangular triangle can never be scalene true or false?
An equiangular triangle is always equal. A scalene triangle does not have to have any equal sides. Therefore an equiangular triangle in never scalene.
what- an equilateral triangle is used in a tent design. is this statement true or false the triangle is equilateral?
true
How many digresses does an equilateral triangle have?
Don't you hate it when people ask inane questions? But I digress: there's no such thing as "digresses" associated with geometry... My suspicion is that you intended to ask "how many degrees does an equilateral triangle have", in which case the answer is 180, as is true of all triangles. In the case of an equilateral (also equiangular), that is 3 x 60.
Karen says every equilateral triangle is acute.Is this true?
Yes, Karen is correct. Every equilateral triangle has all three angles equal to 60 degrees, which are all acute angles (less than 90 degrees). Therefore, it is accurate to say that every equilateral triangle is acute.
Are the halve of an equilateral triangle symmetrical?
A equilateral triangle has 3 lines of symmetry and so it is true.
An equilateral triangle is a special case of an isosceles triangle?
true
