triangle
a shape with 3 sides
A triangle is a closed geometric shape that consists of three line segments or sides and three angles. Triangles are one of the fundamental shapes in geometry and have a variety of properties that make them useful in many areas of mathematics and other sciences.
There are different types of triangles, including:
1. Equilateral Triangle: a triangle with all sides and angles equal. Each angle in an equilateral triangle measures 60 degrees.
2. Isosceles Triangle: a triangle with two equal sides and angles, and one different side and angle.
3. Scalene Triangle: a triangle with no equal sides or angles.
4. Right Triangle: a triangle with one right angle (90 degrees).
Triangles can also be classified based on the length of their sides and the measure of their angles.
Some of the important properties of triangles include:
– The sum of the interior angles of a triangle is always 180 degrees.
– The shortest distance between any two points in a plane is a straight line or a segment.
– The perimeter of a triangle is the sum of the lengths of its sides.
– The area of a triangle is equal to 1/2 times base times height.
– The longest side of a triangle is opposite the largest angle.
– The sum of the lengths of any two sides of a triangle is greater than the length of the remaining side.
Triangles have various applications in real life, including architecture, engineering, and physics. They can also be used to solve everyday problems such as calculating the height of a building or the distance between two points.
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