# Triangle Tutorial

## Triangle Tutorial

##### Triangle Definition:

A triangle has three corners or vertices and three sides or edges which are straight line segments.

##### Equilateral Triangle Definition:

Equilateral triangle is a triangle that has equal length on all three sides.

##### SAS Triangle Definition:

If two sides and the included angles of two triangles are correspondingly equal, the two triangles are congruent.
This is called SAS Triangle.

#### Triangle Formula :

Area of Triangle = l * b/2
Perimeter of Triangle = a + b + c
Area of Equilateral Triangle = (Sqrt(3) / 4) * l²
Area of SAS Triangle = ½ * l * b * SinC
###### where

l = length, b = breadth
a, b, c = sides of triangle
##### Equilateral Triangle Image/Diagram

##### SAS Triangle Image/Diagram

##### Triangle Example :

##### Case 1:

Find the area of a triangle from the given length 3 and breadth 4.

###### Step 1:

Find the area.
Area = l * b/2 = 3 * 4/2 = 12/2 = 6.

##### Case 2:

Find the perimeter of a triangle from the given side 1, 2, 3.

###### Step 1:

Find the perimeter.
Perimeter = a + b + c = 1 + 2 + 3 = 6.

##### Case 3:

Find the area of a equilateral triangle from the given length 3.

###### Step 1:

Find the area.
Area = (Sqrt(3) / 4) * l² = (1.73 / 4) * 3² = 0.43 * 9 = 3.87.

##### Case 4:

Find the area of a SAS triangle from the given length 3 and breadth 4 and angle 28 degree.

###### Step 1:

Find the area.
Area = ½ * l * b * SinC = 0.5 * 3 * 4 * Sin(28) = 6 * 0.27 = 1.62.
The above example will clearly illustrates how to calculate the Area, Perimeter of a Triangle, Equilateral Triangle,
SAS Triangle manually.

This tutorial will help you dynamically to find the Math area problems.