Mastering The Basics Of Triangles In Geometry: Types, Formulas, And Pythagorean Theorem

Triangle

A polygon with three sides.

A triangle is a geometric shape that is formed by three straight lines. It is a closed shape and contains three angles and three vertices. The sum of the angles in a triangle is always equal to 180 degrees, and no two angles can be greater than or equal to 180 degrees.

There are different types of triangles based on their angles and sides. Triangle can be classified as:

1. Scalene Triangle: A scalene triangle is one in which all three sides are of different lengths, and all three angles are of different measures.

2. Isosceles triangle: An isosceles triangle is one in which two sides are of equal length, and two angles are of equal measure.

3. Equilateral triangle: An equilateral triangle is one in which all three sides are of equal length and all three angles are of equal measure, which is 60 degrees.

4. Right-angled triangle: A right-angled triangle is one in which one of the angles is a right angle, which measures 90 degrees.

The area of a triangle is given by the formula (1/2)*base*height, where the base is the length of the side on which the triangle stands or rests, and the height is the perpendicular distance from the base to the opposite vertex.

In addition, the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides is also a significant concept in geometry involving triangles.

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