Area of Triangle Formula
Formula of area of triangle depends on the dimensions of the triangle. The following table consists of the area of triangle formulas used in different contexts :
Triangle Type | Formula |
---|---|
Right-Angled Triangle | ½ × base × height |
Equilateral Triangle | (√3)/4 × side2 |
Isosceles Triangle | ¼ × b√(4a2 – b2) |
Using Heron’s Formula | √{s(s-a)(s-b)(s-c)} ,where s = ½ (a+b+c) |
When Two Sides and Included Angle (SAS) are given | ½ × side 1 × side 2 × sin(θ) , where θ is the angle between the given two sides |
In Coordinate Geometry | ½ |x1(y2 – y3 ) + x2(y3 – y1) + x3(y1 – y2)| , where (x1, y1), (x2, y2) and (x3, y3) are the coordinates of triangle. |
Let’s discuss them in detail.
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