what are all equilateral triangles
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Trigonometry/Similar,Congruent,Isosceles, and Equilateral An equilateral triangle happens also to be an isosceles triangle. If all three sides are the same length then we can certainly find two sides that are the same length! If that seems strange, well yes, it is different to other terminology we have for shapes. 'Triangle', 'square', 'pentagon', 'hexagon' are all different things. But an isosceles triangle can be an equilateral triangle, and it will be if all three sides are the same length. Testing whether a triangle is equilateral. A triangle must be an equilateral triangle if either of the following is true: 1  All three sides are the same length. 2  All three angles are the same.
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Types of Triangles In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent). Since the sum of the angles of a triangle is always 180 degrees, we can figure out the measure of the angles of an equilateral triangle:
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Talk:Triangle/Archive 1 Noun[edit] ( 1 geometry) A triangle having at least two sides equal.  Usage notes[edit] In original usage, an isosceles triangle was understood to have the third side unequal to the other two, that is, an isosceles triangle has exactly two equal sides. An equilateral triangle is, however, a special case of an isosceles triangle, having all three sided equal. Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
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Triangles The angles in an equilateral triangle are always 60°. When a triangle has two congruent sides it is called an isosceles triangle. The angles opposite to the two sides of the same length are congruent. A triangle without any congruent sides or angles is called a scalene triangle.
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Types of Triangles The equilateral triangle: In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent). Since the sum of the angles of a triangle is always 180 degrees, we can figure out the measure of the angles of an equilateral triangle:The isosceles triangle:he equilateral triangle: In the equilateral triangle, all the sides are the same length (congruent) and all the angles are the same size (congruent). Since the sum of the angles of a triangle is always 180 degrees, we can figure out the measure of the angles of an equilateral triangle: The isosceles triangle:
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- 1 In an equilateral triangle, all sides are the same length. 2  An equilateral triangle is also a regular polygon with all angles 60°. 3  In an isosceles triangle, at least two sides are equal in length. 4  An isosceles triangle also has two equal angles: the angles opposite the two equal sides.
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- While the side lengths determine the size and stretch of the polygon, the shape of the polygon is determined by the angle measures. A polygon whose vertex angles are equal are called equiangular polygon, for example equilateral triangle is an equiangular triangle, each angle is of measure 60 degrees. Also all the regular polygons (polygons having all the sides equal)are always equiangular.
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Can an isosceles triangle be an equilateral triangle? In geometry, an isosceles triangle is a triangle that has two sides of equal length. Sometimes it is specified as having two and only two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
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Equilateral triangle In geometry, an equilateral triangle is a triangle in which all three sides are equal. In the familiar Euclidean geometry, equilateral triangles are also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.
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The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles? This is because 60 X 3 = 180 degrees. So, the angles of an equilateral triangle are all equal to 60 degrees. An angle that is less than 90 degrees is an acute angle, and since 60 is less that 90, the angles of an equilateral triangle are acute.
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Can an isosceles triangle be an equilateral triangle? Conclusion: Whether or not an isosceles triangle can be an equilateral triangle depends on which definition of “isosceles triangle” is accepted for a given mathematical discussion. “In geometry, an isosceles triangle is a triangle that has two sides of equal length.
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- Isosceles triangle has one line of symmetry, equilateral have 3 lines of symmetry because they have 3 equal sides and a scalene has 3 different sides so no lines of symmetry.
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Hexagon From this it can be seen that a triangle with a vertex at the center of the regular hexagon and sharing one side with the hexagon is equilateral, and that the regular hexagon can be partitioned into six equilateral triangles.
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Congruent 1 Congruent Angles angles are angles that have the same measure. 2  An equilateral triangle has all its angles measuring 60°. So, the angles of an equilateral triangle are Congruent Angles.  A square and a rectangle have all their angles measuring 90°.
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- Isosceles triangle has one line of symmetry, equilateral have 3 lines of symmetry because they have 3 equal sides and a scalene has 3 different sides so no lines of symmetry. waspy · 8 years ago.
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Triangle An equilateral triangle has the same pattern on all 3 angles, an isosceles triangle has the same pattern on just 2 angles, and a scalene triangle has different patterns on all angles since no angles are equal.
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Triangle 1 An equilateral triangle is also a regular polygon with all angles 60°. 2  In an isosceles triangle, at least two sides are equal in length. 3  An isosceles triangle also has two equal angles: the angles opposite the two equal sides. 4  In a scalene triangle, all sides and internal angles are different from one another.
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Equilateral Triangle Equilateral Triangle. An equilateral triangle is a triangle with all three sides of equal length , corresponding to what could also be known as a regular triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal angles.
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Classifying Three Types of Triangles The two angles touching the base (which are congruent, or equal) are called base angles. The angle between the two legs is called the vertex angle. Equilateral triangles. An equilateral triangle has three equal sides and three equal angles (which are each 60°). Its equal angles make it equiangular as well as equilateral.
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- Report Abuse. Isosceles triangle has one line of symmetry, equilateral have 3 lines of symmetry because they have 3 equal sides and a scalene has 3 different sides so no lines of symmetry. waspy · 8 years ago. Thumbs up.
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- Answer by Dirtybird6. Confidence votes 439. You can do that by simply proving that the hexagon is a regular hexagon. You could do this by dividing the hexagon into 6 equilateral triangles of the same size successfully that tesselate to form a hexagon, thus proving that all sides are equal. square or an Isoceles triangle NOT An acute triangle.also a diamond   ANS2:Any polygon can be drawn with all sides and angles equal. That sort of triangle is called an eq … uilateral triangle and that sort of quadrilateral is called a square.
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- Triangles classified by the length of their sides, are either equilateral with all the sides of equal length, isosceles with two sides of equal length, or scalene with no sides of equal length (BOS, 2002, pp.
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Talk:Triangle/Archive 1 A triangle with three sides of the same length …is called an equilateral or regular triangle, one with only two equal sides is isosceles, and one with three sides of different lengths is called scalene..
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- 1 So, the angles of an equilateral triangle are Congruent Angles. 2  A square and a rectangle have all their angles measuring 90°. So, the angles of a square and a rectangle are Congruent Angles.  Congruent Angles Figures have the same shape and size.
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- All triangles have exactly 3 sides. This is true whether the triangle is equilateral or not. If the triangle is equilateral then the 3 sides will all be equal in length.
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Triangles Types of Triangle by Angle. In an equiangular triangle, all the angles are equal—each one measures 60 degrees. An equiangular triangle is a kind of acute triangle, and is always equilateral. In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene. In an obtuse triangle, one angle is greater than a right angle—it is more than 90 degrees. An obtuse triangle may be isosceles or scalene.