Triangle
A triangle is a geometric shape that is formed by three line segments joining three non-collinear points
A triangle is a geometric shape that is formed by three line segments joining three non-collinear points. It is a polygon with three sides and three angles. The sum of the angles in a triangle is always 180 degrees.
Types of Triangles:
1. Scalene Triangle: A scalene triangle is a triangle in which all three sides have different lengths. The angles in a scalene triangle are also different from each other.
2. Isosceles Triangle: An isosceles triangle is a triangle that has two sides of equal length. This means that two of its angles are also equal.
3. Equilateral Triangle: An equilateral triangle is a triangle in which all three sides and all three angles are equal. It is a special case of an isosceles triangle.
Properties of Triangles:
1. Sum of angles: The sum of the three interior angles of a triangle is always 180 degrees.
2. Exterior angles: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two opposite interior angles.
3. Pythagorean Theorem: In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
4. Area: The area of a triangle can be found using the formula: Area = (base x height) / 2 or Area = √(s(s – a)(s – b)(s – c)), where a, b, and c are the lengths of the sides, and s is the semiperimeter of the triangle (s = (a + b + c) / 2).
5. Similarity: Triangles are similar if their corresponding angles are equal and their corresponding sides are proportional in length.
These are just some basic concepts and properties related to triangles. There is a lot more to explore and learn in the field of triangle geometry.
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