Triangle Area Calculator is used to find the total size of a triangle. Triangle Area calculator uses 2 ways to find the area of a triangle:
1. Area of a triangle = ½ Base x Height
2. Heron’s formula = √[s +(s-x1) + (s-x2) + (s-x3)], where s = semi-perimeter = perimeter/2
Example 1: Find the area of the triangle with base = 30 cm and Height = 40 cm
For a given question
Area of a triangle = ½ x base x height = ½ x B x H
Base = B = 30 cm; Height = H = 40 cm
Replace the values into the formula we get,
Area of the triangle = ½ x 30 cm x 40 cm = ½ x 1200 cm2 = 600 cm2
Example 2: Find the area of the triangle with AC = a = 5 cm, AB = b = 4 cm and CB = c = 3 cm
The perimeter = 3+4+5 = 12
Semi-perimeter = perimeter/2 = 12/2= 6
Using heron’s formula,
Area = √[s x (s-a) x (s-b) x (s-c)],
Area = √[6 cm x (6-3 cm) x (6-4 cm) x (6-5 cm)]
= √[6 x (3) x (2) x (1)] cm4
= √36 cm4
Answer = 6cm2