Class 9 Exam > Class 9 Notes > Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides
Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9 PDF Download
Objective:
To show that the area of a trapezium is equal to half the product of its altitude and sum of its parallel sides.
Theory
-
Trapezium is a quadrilateral with one pair of opposite sides parallel.
-
A quadrilateral is a parallelogram if a pair of its opposite sides are parallel and equal to each other.
-
The parallel sides are called "bases" of the trapezium and the other two sides are called the "legs" of trapezium.
-
Area of parallelogram = base(b) X height(h)
Proof:
Consider trapezium ABCD. AB and DC are the bases (parallel sides) and h is the height of trapezium ABCD.
A parallelogram can be formed by creating a copy of trapezium ABCD and placing it inverted touching side BC as shown in figure below:
We observe that parallelogram ASPD is formed by combining two trapeziums ABCD and BSPC.
∴ Area of trapezium ABCD = 1/2 X Area of parallelogram ASPD
= ½ X DP X h
= 1/2 X (DC+CP) X h
=1/2 X (b1 + b2) X h
= ½ X (AB + DC) X h
Thus, area of a trapezium is equal to half the product of its altitude and sum of its parallel sides.
Example:-
Find the area of the following trapezium.
Solution:-
Given,
b1= 5 cm
b2= 11 cm
h= 8 cm
Area of trapezium = 1/2(b1+b2) X h
=1/2(11+5) X 8
=64 cm2
FAQs on Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9
| 1. What is the formula to find the area of a trapezium? |  |
Ans. The formula to find the area of a trapezium is: Area = (1/2) × (altitude) × (sum of parallel sides).
| 2. How do you calculate the altitude of a trapezium? | |
Ans. To calculate the altitude of a trapezium, you can use the formula: altitude = (2 × area) / (sum of parallel sides).
| 3. Can the area of a trapezium be negative? | |
Ans. No, the area of a trapezium cannot be negative. It represents the measure of a two-dimensional space and is always positive or zero.
| 4. What happens if the parallel sides of a trapezium are equal? | |
Ans. If the parallel sides of a trapezium are equal, it becomes a special type of trapezium called an isosceles trapezium. In an isosceles trapezium, the non-parallel sides are also equal in length.
| 5. Can the altitude of a trapezium be greater than the length of the longer base? | |
Ans. No, the altitude of a trapezium cannot be greater than the length of the longer base. The altitude is always measured perpendicular to the bases, and it cannot exceed the length of the longer base.
About this Document
4.80/5
Rating
Sep 07, 2025
Last updated
Related Exams
Document Description: Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides for Class 9 2025 is part of Class 9 preparation. The notes and questions for Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides have been prepared according to the Class 9 exam syllabus. Information about Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides covers topics like and Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Example, for Class 9 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides.
Introduction of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides in English is available as part of
our Class 9 preparation & Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides in Hindi for Class 9
courses. Download more important topics, notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9
Description
Full syllabus notes, lecture & questions for Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9 - Class 9 | Plus excerises question with solution to help you revise complete syllabus | Best notes, free PDF download
Information about Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides
In this doc you can find the meaning of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides defined & explained in the simplest way possible.
Besides explaining types of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides theory,
EduRev gives you an ample number of questions to practice Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides tests, examples and also practice Class 9 tests.
Related Searches
Extra Questions
,Important questions
,Objective type Questions
,Semester Notes
,Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9
,Viva Questions
,Free
,practice quizzes
,ppt
,Exam
,Previous Year Questions with Solutions
,shortcuts and tricks
,Summary
,Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9
,Sample Paper
,mock tests for examination
,Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides - Class 9
,past year papers
,video lectures
,study material
,MCQs
;
Additional Information about Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides for Class 9 Preparation
Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Free PDF Download
The Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides is an invaluable resource that delves deep into the core of the Class 9 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides now and kickstart your journey towards success in the Class 9 exam.
Importance of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides
The importance of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides cannot be overstated, especially for Class 9 aspirants.
This document holds the key to success in the Class 9 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Notes
Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Notes on EduRev are your ultimate resource for success.
Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Class 9 Questions
The "Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides Class 9 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 9 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides on the App
Students of Class 9 can study Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Theory - Area of Trapezium is Equal to half the Product of its Altitude & sum of its parallel Sides is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup on EduRev and stay on top of your study goals
10M+ students crushing their study goals daily