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A triangle is a polygon with three edges and three vertices. The sum of the interior angles of any triangle is always 180 degrees. Triangles can be classified by their side lengths or by their angle measures.
Classification by Side Lengths:
- Equilateral Triangle: All three sides are equal in length. All three interior angles are also equal, each measuring 60 degrees.
- Isosceles Triangle: At least two sides are equal in length. The angles opposite the equal sides are also equal.
- Scalene Triangle: All three sides have different lengths. All three interior angles also have different measures.
Classification by Angle Measures:
- Acute Triangle: All three interior angles are less than 90 degrees.
- Right Triangle: One interior angle is exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and it is the longest side. The other two sides are called legs.
- Obtuse Triangle: One interior angle is greater than 90 degrees.
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