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# Does an isosceles triangle have rotational symmetry?

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An isosceles triangle could have rotational symmetry if it were also an equilateral triangle. An isosceles triangle is a triangle with at least two equal sides. An equilateral triangle is a triangle with exactly three equal sides. By definition, all equilateral triangles are also isosceles triangles.

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A shape or image with rotational symmetry is one that can be rotated by some degree amount and still appear the same. In the case of an equilateral triangle, the shape remains the same each time the triangle is rotated by 120 degrees. As a subset of isosceles triangles, equilateral triangles have rotational symmetry.

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## Related Questions

• A:

"Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry builds upon the basic concepts of Euclidean geometry, and it has applications in a variety of mathematical fields, from physics to advanced calculus.

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The formula is Area = ½ times (Base times Height) or Area = (Base times Height) divided by 2. Finding the area of an isosceles or right triangle is easy as long as the length of the base and the height are known.

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The law of sines and law of cosines are two different equations relating the measure of the angles of a triangle to the length of the sides. The laws apply to any triangle, not just right-angled triangles.