Solved Examples on Area of Triangle
Let’s solve some example problems on Area of Triangle.
Example 1: What is the area of triangle with sides of 8 cm, 6 cm, and 10 cm (using Heron’s Formula)?
Solution:
Using Heron’s formula,
s = (a+b+c)/2
= (8+6+10)/2
= 24/2 = 12
Area = √{ s(s-a)(s-b)(s-c)}
= √{ 12(12-8)(12-6)(12-10)}
= √(12×4×6×2) = √(576)
= 24 cm2
Example 2: Find the area of a right-angled triangle having base a = 5 cm and height c = 3 cm.
Solution:
Given
Base of the triangle (a) = 5 cm
Height of the triangle (c) = 3 cm
We have,
Area(A) = 1/2 × a × c
= 1/2 × 5 × 3
= 7.5 cm2
Example 3: Find the area of an equilateral triangle having side a = 6 cm
Solution:
Given,
side of the triangle (a) = 6 cm
Area(A) = (√3)/4 × a2
= (√3)/4 × 62
= 9√3 cm2
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