Finding the area of a triangle is an important skill for mathematicians. There are different types of triangle: Scalene, Isosceles and Equilateral triangle.
There are basically three elements of a triangle, the base (which is the side upon which the triangle is resting or the bottom side when the triangle is drawn with a base), height (the perpendicular distance from the base to the opposite vertex or side), vertices (the three points where the sides of the triangle meet).
How to Find the Area of a Triangle
In this comprehensive guide, we will explore various methods for calculating the area of a triangle;
There are several methods to find the area of a triangle, depending on the information provided.
1. Using Base and Height
Formula: Area = 1/2 * base * height
- Identify the base and the corresponding height perpendicular to it.
- Multiply half the base by the height to obtain the area.
2. Using Side Lengths
Formula: Area = √(s * (s – a) * (s – b) * (s – c)), where s is the semi-perimeter and a, b, and c are the lengths of the sides.
- To get started, you must know the lengths of all three sides (a, b, and c).
- Calculate the semi-perimeter, s, using the formula: s = (a + b + c) / 2.
- Multiply the square root of s multiplied by the differences between s and each side length to find the area.
What is the formula for finding the area of a triangle?
The formula varies depending on the information provided. To find the area of a triangle with the given base and height is Area = 1/2 * base * height. If the length of the three sides are provided, then Area = √(s * (s – a) * (s – b) * (s – c)), where s represents the semi-perimeter.