That is incorrect. An equilateral triangle is where ALLthe sides of the triangle are the same length. This results in all three of the internal angles being 60 degrees.
However, a Isosceles triangle only has TWO sides that are the same length. This results in two of the internal angles being the same with and the other angle being a smaller angle to add up to the 180 degrees.
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False. Equilateral triangles are equilateral. All isosceles triangles have two of the sides the same, with the hypotenuse being longer than the other two.
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).
Sure. That's true of a median in every isosceles triangle, and every median in an equilateral triangle. In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.
The converse is, "If a triangle is isosceles, then it is equilateral." Neither is true.
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False. Equilateral triangles are equilateral. All isosceles triangles have two of the sides the same, with the hypotenuse being longer than the other two.
An equilateral triangle is also isosceles.Improved Answer:-They are both triangles whose 3 interior angles add up to 180 degrees and an equilateral triangle has 3 equal angles with 3 equal sides whereas an isosceles triangle has 2 equal angles with 2 equal sides
True or False, depending on your definition of isosceles triangles!Actually, whether your answer is true or false depends upon your definition of an isosceles triangle. Some mathematicians define an isosceles triangle as one with at least two sides, while others define an isosceles triangle as one with exactly two sides. The latter definition is the more generally accepted one. Since an equilateral triangle has three, not exactly two congruent sides, people using the second definition of isosceles triangles would say that the statement is false, not true.False because an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides
All isosceles triangles are not equilateral triangles
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).
Sure. That's true of a median in every isosceles triangle, and every median in an equilateral triangle. In fact it is true for any median of any triangle. The two parts may not be the same shapes but they will have the same area. That is why the point where the three medians meet (centroid) is the centre of mass of a triangular lamina of uniform thickness.
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An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.
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