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Triangles: Types of Triangles

Triangles are fundamental shapes in geometry with three straight sides and three angles. They come in many different types, each with unique properties.

  A closed structure formed by three intersecting lines is described as a triangle.

   A triangle has three sides, three angles, and three vertices A, B, and C.

   A triangle is a polygon with all these properties.

   The three angles of a triangle always sum equal to 180°.

What is Triangle

For example: In triangles ABC, denoted as Types of TrianglesABC. AB,BC and CA are the three sides. anglesAB , anglesBC , anglesCA are three angles. A, B, and C are three vertices

Types of TrianglesABC= anglesAB + anglesBC + anglesCA

Types of TrianglesABC= 600 + 60 + 60

Types of TrianglesABC= 1800

Types of Triangles

There are basically six types of triangle, which is below.

  1. Isosceles Triangle
  2. Equilateral Triangle
  3. Scalene Triangle
  4. Right-angled Triangle
  5. Obtuse Triangle
  6. Acute-angled Triangle

1.Isosceles Triangles

Isosceles Triangles

In this triangle only two sides are equal and two angles are equal.

2.Equilateral Triangle

Triangle Equilateral

In equilateral, all three sides are equal(AB=BC=CA) and all three angles are equal (anglesAB = anglesBC = anglesCA=600)

3. Scalene Triangle

Scalene Triangles

In this type of triangle, there are no sides equal and no equal angles.

4.Right Triangle

Right Triangle

In the right triangle, one angle always 90°.

5.Obtuse Triangle

Obtuse Triangle

In this type of triangle One angle > 90° or more than 90°.

6. Acute Triangle

Acute Triangle

All angles < 90°.

Area of Triangle

Area of Triangle

The area is 1/2 of the base times height.

“b” is the distance along the base
“h” is the height

Area of Triangle = ½ × b × h

This formula works for all types of triangles.

Example: What is the area of a triangle?

what are the area of triangles






(Note: 100 is the height, not the length of the left-hand side)

Height = h = 100

Base = b = 40

Area = ½ × b × h 

Area = ½ ×40 × 100 = 2000

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