Triangle Calculator

What is a Triangle?

A triangle is a plane figure with straight sides and three angles. All of the interior angles add up to 180 degrees. A triangle is a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.

A triangle is a three-sided polygon consisting of three line segments linked end-to-end.

• The interior angles of a triangle always add up to 180 degrees
• The exterior angles of a triangle always add up to 360 degrees

Formula

1. Area of a triangle: [l × b /2]
2. Perimeter of Triangle: [(a + b + c)]
3. Area of Equilateral Triangle: [(Sqrt (3)/4)×(side)²]
4. Area of Triangle SAS (2sides & opposite angle): [½×a×b×SinC]

Where,

• l = length
• b =breadth
• a,b, and c = sides of the triangle

Types of Triangle

There are seven types of triangles:

• Isosceles triangle
• Equilateral triangle
• Scalene triangle
• Right angle triangle
• Obtuse triangle
• Acute triangle
• Equiangular

How to calculate the area & perimeter of a triangle?

Example 1:

Calculate the area of a triangle with a given length of 3 and breadth of 4 cm.

Solution

length = l = 3

breadth = b = 4 cm

Take the formula and substitute the above values

Area = [l × b /2]

= (3*4/2) = 12/2 = 6

Example 2:

Calculate the Perimeter of a triangle with the given sides as 3, 4, and 5 cm.

Solution

a = 3 cm

b = 4 cm

c = 5 cm

Take the formula and substitute the above values

Perimeter = a + b + c

Perimeter = 3 + 4 + 5 = 12