Area of Triangle By Heron’s Formula
Area of triangle with 3 sides given can be found using Heron’s Formula. This formula is useful when the height is not given.
Heron’s Formula is given by,
Area of Triangle = √{s(s-a)(s-b)(s-c)}
where, a, b, and c are sides of the given triangle
and s = ½ (a+b+c) is the semiperimeter.
Example: What is the area of triangle with sides of 3 cm, 4 cm, and 5 cm?
Solution:
Using Heron’s formula,
s = (a+b+c)/2
= (3+4+5)/2
= 12/2 = 6
Area = √{ s(s-a)(s-b)(s-c)}
= √{ 6(6-3)(6-4)(6-5)}
= √(6 × 3 × 2 × 1) = √(36)
= 6 cm2
Learn More : Heron’s Formula
Area of Triangle | Formula and Examples
Area of a triangle is the region enclosed by all its three sides. It is generally calculated with the help of its base and height. To Find the Area of a triangle A with base b and height h, We use the formula, A = [Tex]\frac{1}{2} \times b \times h [/Tex].
Let’s learn about the area formulas for different types of triangles in detail, with the help of solved examples.
Table of Content
- What is the Area of the Triangle?
- Area of Triangle Formula
- Area of Right Angled Triangle
- Area of Equilateral Triangle
- Area of Isosceles Triangle
- Area of Triangle By Heron’s Formula
- Area of Triangle With Two Sides and Included Angle (SAS)
- Area of Triangle in Coordinate Geometry
- Solved Examples on Area of Triangle
- Practice Problems on Area of Triangle