Area of a Triangle Formula – With Solved Examples

 The area of ​​a triangle is the area bounded by the flat faces. As you know, a triangle is a padlock shape with three sides and three vertices. Therefore, the area of ​​the triangle formula is all the space occupied within the three sides of the triangle. The general procedure for finding the area of ​​a triangle formula is given by the product of its base and half its height.

In a broad sense, the term "region" is described as the area within the bounds of a planar entity or shape. Measurements are in square units and the average unit is square meters (m2). There are predefined formulas for squares, rectangles, circles, triangles, etc. to calculate the area. In this blog, we will explore the triangle area formula for different types of triangles and some diagram problems.

How do you define the area of ​​a triangle?

The area of ​​a triangle formula can be written as the total area bounded by the three sides of a given triangle.

To find the area of ​​a three-sided polygon, we need to know its base (b) and height (h). This relates to all categories of triangles: odd, isosceles, and equilateral. A point to emphasize is that the triangle's base and height are at right angles. Then the unit area is calculated in square units (m2, cm2).

Illustrate:

Find the area of ​​a triangle with base b = 4 cm and height h = 6cm.
Using the formula

The area of ​​the triangle  A = 1/2 × w × h = 1/2 × 4 cm × 6 cm = 2 cm × 6 cm = 12 cm²

Apart from the overhead formula, triangle 3 If you know the side lengths, you can use Heron's method to calculate the area of ​​a triangle. Similarly, using trigonometric functions to find the area if you know the two sides of a triangle and the angle designed between them. Analyze the territory for all the situations given here.

Area of Triangle formula

The Triangle formula area is quoted below.


Triangle formula area = A = ½ (b × h) in square units

where b and h are the base and height of the triangle.

Let's understand how to calculate the area of ​​a triangle using the given formula. Support how to find the area of ​​a triangular triangle using Heron's formula with an example.

Area of ​​a Right Triangle

A 90-degree triangle, also called a right triangle, has one angle of 90° and the sum of two additional acute angles is 90°. As a result, the triangle's height is the vertical side's length.
area of ​​right triangle = A = ½ × base × height (vertical extent)

area of ​​triangle, A = 1/2 × w × h = 1/2 × 4 cm × 6 cm = 2 cm × 6 cm = 12 cm²

Apart from the overhead formula, there is Heron's method of calculating the area of ​​a triangle when finding the lengths of its three sides. Similarly, using trigonometric functions to find the area if you know the two sides of a triangle and the angle designed between them. Analyze the territory for all the situations given here.

 To know more about all kinds of triangles’ areas Click here