
CBSE Important Questions›

CBSE Previous Year Question Papers›
 CBSE Previous Year Question Papers
 CBSE Previous Year Question Papers Class 12
 CBSE Previous Year Question Papers Class 10

CBSE Revision Notes›

CBSE Syllabus›

CBSE Extra Questions›

CBSE Sample Papers›
 CBSE Sample Papers
 CBSE Sample Question Papers For Class 5
 CBSE Sample Question Papers For Class 4
 CBSE Sample Question Papers For Class 3
 CBSE Sample Question Papers For Class 2
 CBSE Sample Question Papers For Class 1
 CBSE Sample Question Papers For Class 12
 CBSE Sample Question Papers For Class 11
 CBSE Sample Question Papers For Class 10
 CBSE Sample Question Papers For Class 9
 CBSE Sample Question Papers For Class 8
 CBSE Sample Question Papers For Class 7
 CBSE Sample Question Papers For Class 6

ISC & ICSE Syllabus›

ICSE Question Paper›
 ICSE Question Paper
 ISC Class 12 Question Paper
 ICSE Class 10 Question Paper

ICSE Sample Question Papers›
 ICSE Sample Question Papers
 ISC Sample Question Papers For Class 12
 ISC Sample Question Papers For Class 11
 ICSE Sample Question Papers For Class 10
 ICSE Sample Question Papers For Class 9
 ICSE Sample Question Papers For Class 8
 ICSE Sample Question Papers For Class 7
 ICSE Sample Question Papers For Class 6

ICSE Revision Notes›
 ICSE Revision Notes
 ICSE Class 9 Revision Notes
 ICSE Class 10 Revision Notes

ICSE Important Questions›

Maharashtra board›

RajasthanBoard›
 RajasthanBoard

Andhrapradesh Board›
 Andhrapradesh Board
 AP Board Sample Question Paper
 AP Board syllabus
 AP Board Previous Year Question Paper

Telangana Board›

Tamilnadu Board›

NCERT Solutions Class 12›
 NCERT Solutions Class 12
 NCERT Solutions Class 12 Economics
 NCERT Solutions Class 12 English
 NCERT Solutions Class 12 Hindi
 NCERT Solutions Class 12 Maths
 NCERT Solutions Class 12 Physics
 NCERT Solutions Class 12 Accountancy
 NCERT Solutions Class 12 Biology
 NCERT Solutions Class 12 Chemistry
 NCERT Solutions Class 12 Commerce

NCERT Solutions Class 10›

NCERT Solutions Class 11›
 NCERT Solutions Class 11
 NCERT Solutions Class 11 Statistics
 NCERT Solutions Class 11 Accountancy
 NCERT Solutions Class 11 Biology
 NCERT Solutions Class 11 Chemistry
 NCERT Solutions Class 11 Commerce
 NCERT Solutions Class 11 English
 NCERT Solutions Class 11 Hindi
 NCERT Solutions Class 11 Maths
 NCERT Solutions Class 11 Physics

NCERT Solutions Class 9›

NCERT Solutions Class 8›

NCERT Solutions Class 7›

NCERT Solutions Class 6›

NCERT Solutions Class 5›
 NCERT Solutions Class 5
 NCERT Solutions Class 5 EVS
 NCERT Solutions Class 5 English
 NCERT Solutions Class 5 Maths

NCERT Solutions Class 4›

NCERT Solutions Class 3›

NCERT Solutions Class 2›
 NCERT Solutions Class 2
 NCERT Solutions Class 2 Hindi
 NCERT Solutions Class 2 Maths
 NCERT Solutions Class 2 English

NCERT Solutions Class 1›
 NCERT Solutions Class 1
 NCERT Solutions Class 1 English
 NCERT Solutions Class 1 Hindi
 NCERT Solutions Class 1 Maths

JEE Main Question Papers›

JEE Main Syllabus›
 JEE Main Syllabus
 JEE Main Chemistry Syllabus
 JEE Main Maths Syllabus
 JEE Main Physics Syllabus

JEE Main Questions›
 JEE Main Questions
 JEE Main Maths Questions
 JEE Main Physics Questions
 JEE Main Chemistry Questions

JEE Main Mock Test›
 JEE Main Mock Test

JEE Main Revision Notes›
 JEE Main Revision Notes

JEE Main Sample Papers›
 JEE Main Sample Papers

JEE Advanced Question Papers›

JEE Advanced Syllabus›
 JEE Advanced Syllabus

JEE Advanced Mock Test›
 JEE Advanced Mock Test

JEE Advanced Questions›
 JEE Advanced Questions
 JEE Advanced Chemistry Questions
 JEE Advanced Maths Questions
 JEE Advanced Physics Questions

JEE Advanced Sample Papers›
 JEE Advanced Sample Papers

NEET Eligibility Criteria›
 NEET Eligibility Criteria

NEET Question Papers›

NEET Sample Papers›
 NEET Sample Papers

NEET Syllabus›

NEET Mock Test›
 NEET Mock Test

NCERT Books Class 9›
 NCERT Books Class 9

NCERT Books Class 8›
 NCERT Books Class 8

NCERT Books Class 7›
 NCERT Books Class 7

NCERT Books Class 6›
 NCERT Books Class 6

NCERT Books Class 5›
 NCERT Books Class 5

NCERT Books Class 4›
 NCERT Books Class 4

NCERT Books Class 3›
 NCERT Books Class 3

NCERT Books Class 2›
 NCERT Books Class 2

NCERT Books Class 1›
 NCERT Books Class 1

NCERT Books Class 12›
 NCERT Books Class 12

NCERT Books Class 11›
 NCERT Books Class 11

NCERT Books Class 10›
 NCERT Books Class 10

Chemistry Full Forms›
 Chemistry Full Forms

Biology Full Forms›
 Biology Full Forms

Physics Full Forms›
 Physics Full Forms

Educational Full Form›
 Educational Full Form

Examination Full Forms›
 Examination Full Forms

Algebra Formulas›
 Algebra Formulas

Chemistry Formulas›
 Chemistry Formulas

Geometry Formulas›
 Geometry Formulas

Math Formulas›
 Math Formulas

Physics Formulas›
 Physics Formulas

Trigonometry Formulas›
 Trigonometry Formulas

CUET Admit Card›
 CUET Admit Card

CUET Application Form›
 CUET Application Form

CUET Counselling›
 CUET Counselling

CUET Cutoff›
 CUET Cutoff

CUET Previous Year Question Papers›
 CUET Previous Year Question Papers

CUET Results›
 CUET Results

CUET Sample Papers›
 CUET Sample Papers

CUET Syllabus›
 CUET Syllabus

CUET Eligibility Criteria›
 CUET Eligibility Criteria

CUET Exam Centers›
 CUET Exam Centers

CUET Exam Dates›
 CUET Exam Dates

CUET Exam Pattern›
 CUET Exam Pattern
Triangle Formula
Triangles are polygons that have three sides and three vertices. It is one of the most fundamental concepts in geometry. A triangle containing vertices A, B, and C is denoted as △ ABC. In Euclidean geometry, any three noncollinear points define both a unique triangle and a unique plane simultaneously. A triangle contains three angles. Each angle is generated when any two sides of a triangle intersect at a common point, known as the vertex.
Triangle formulae are the fundamental formulas used to calculate the unknown dimensions and characteristics of a triangle. The main formulae for a triangle are linked to its area and perimeter. Let us understand more about each triangle formula in detail.
What is the Triangle Formula?
The two most essential triangle formulae are for the area and perimeter of a triangle. There are several triangle formulae that apply to various sorts of triangles. Let us study all of the basic triangle फॉर्मूले। Triangle formulae primarily contain formulas for calculating a triangle’s area and perimeter. Let’s learn more about them in the next sections.
What is a Triangle?
A triangle is a closed shape with three corners, three sides, and three corners. A triangle with vertices P, Q and R is denoted by △PQR. The most common examples of triangles are triangleshaped signs and sandwiches. Read more about triangles and triangle properties on Extramarks. A triangle is a simple polygon with three sides and three interior angles. It is one of the basic forms of geometry in which three vertices are connected, and is represented by the symbol △. There are different types of triangles, classified based on their sides and angles.
A triangle is made up of different parts. It has 3 corners, 3 sides, and 3 corners. Consider a triangle PQR that shows the triangle’s sides, vertices, and interior angles.
Perimeter of Triangle Formula
The perimeter of any polygon is the sum of the lengths of the edges.
In the triangle,
Perimeter = The sum of the three sides
Here are some important properties of triangles:
 The perimeter of a triangle is equal to the sum of all the sides of the triangle, and the formula is expressed as, Perimeter of a triangle formula, P = (a + b + c), where ‘a’, ‘b’, and ‘c’ are the three sides of the triangle.
 The equilateral triangle formula for perimeter is, Perimeter of equilateral triangle = (a +a + a) = 3a. Here ‘a’ is a side of an equilateral triangle. (Note: In an equilateral triangle, all three sides are equal)
 The isosceles triangle formula for perimeter is Perimeter of isosceles triangle = (s + s + b) = (2s + b). Here ‘s’ is the length of the two equal sides, and ‘b’ is the base of an isosceles triangle.
Area of a Triangle
The triangle’s area is the total region that is enclosed by the three sides of any particular triangle. It is equal to half of the height of the basic periods. Therefore, we have to know the base and height of it to find the field of a trisided polygon.
Let us find out the area of different types of triangles.
Important note about triangles
 The area of a triangle is equal to half the product of the base and height of the triangle and it is expressed as, Area of triangle = ½ × base × height
 While the above formula is used for any triangle, sometimes, in the case of a scalene triangle, we use the Heron’s formula to find its area.
 The area of a triangle using Heron’s Formula is given as, Area of scalene triangle = √s(s−a)(s−b)(s−c)
 , where ‘s’ is the semiperimeter of the triangle. So, semiperimeter = Perimeter/2 = (a + b + c)/2
 In case of an equilateral triangle, the area can be calculated using the formula, Area of equilateral triangle = (√3/4)a^{2}, where ‘a’ is the side of the triangle.
 In the case of an isosceles triangle, the isosceles triangle formula for area is, Area of isosceles triangle = 1/2 × Base × Height, where, height = √a2−b24
 . (Here ‘a’ is the equal side, and ‘b’ is the base of the isosceles triangle.)
 The Pythagoras theorem can be used to find the unknown side of a rightangled triangle if the other two sides are known. This theorem is mathematically expressed as, h^{2} = p^{2} + b^{2}. Here, ‘h’ is the hypotenuse (longest side of a right triangle), ‘p’ is the perpendicular side, and ‘b’ is the Base. Once all the sides are known, the area of the triangle can be calculated using the formulas given above.
Solved Examples on Triangle Formulas
Example 1: Calculate the area of a triangle whose base is 80 units and whose height is 50 units.
Solution:
To find: The area of a triangle
The base of a triangle = 80 units (given)
Height of triangle = 50 units (given)
Using triangle formulas,
Area of triangle, A = ½ × base × height
= ½ × 80 × 50
= 2000 square units
Answer: The area of the triangle is 2000 square units.
Example 2: A triangle has sides a = 10 units, b = 20 units, and c = 30 units. What is the perimeter of this triangle?
Solution:
To find: The perimeter of a triangle
Three sides of a triangle = 10, 20, 30. (Given)
Using triangle formulas,
Perimeter of a triangle, p = (a + b + c)
= 10 + 20 + 30
= 60 units
Answer: The perimeter of the given triangle is 60 units.
FAQs (Frequently Asked Questions)
1. What are the Triangle Formula?
The Triangle Formula is the area of a triangle and the perimeter of a triangle. This Triangle Formula can be expressed mathematically as follows:
Area of triangle, A = [(½) b × h]; where ‘b’ is the base of the triangle and ‘h’ is the height of the triangle. Perimeter of triangle, P = (a + b + c); where ‘a’, ‘b’, ‘c’ are the three sides of the triangle.
2. How many types of triangles are there in mathematics?
There are six types of triangles classified based on their sides and angles, as shown below.
 scalene triangle
 isosceles triangle
 equilateral triangle
 acute triangle
 obtuse triangle
 right triangle
3. What is the area of a concaveconvex triangle?
The area of an odd triangle is equal to half the base times the height of the triangle. Therefore, the area of a scalene triangle with base ‘b’ and height ‘h’ is expressed as “scalene triangle area.”
= 1/2 × b × h.