Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Value Based Questions- Heron’s Formula
Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
Question 1. Sarika participated in a drawing competition. She is required to make a design on a rectangular sheet of dimensions 50 cm × 70 cm. In the design she made 8 triangles, each of sides 26 cm, 17 cm and 25 cm as shown in the figure.
(i) Find the total area of the design.
(ii) Find the remaining area of the sheet.
(iii) By drawing a design in a competition, which value is depicted by Sarika?
Solution. (i) Sides of a triangle are: a = 26 cm, b = 17 cm and c = 25 cm
Using, Hero’s formula,
= 2 × 17 × 2 × 3 cm2 = 204 cm2
∵ The design is having 8 equal (congruent) triangles.
∴ Total area of the design = 8 × (Area of one triangle) = 8 × 204 cm2
= 1632 cm2
(ii) Total area of the sheet =70 cm × 50 cm = 3500 cm2
∴ Remaining area of the sheet = (3500 – 1632) cm2
= 1868 cm2
(iii) Creativity.
The document Class 9 Maths Chapter 10 Question Answers - Heron’s Formula is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
|
44 videos|412 docs|54 tests
|
FAQs on Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
| 1. What is Heron's formula and how is it used to find the area of a triangle? |  |
Ans. Heron's formula is a mathematical formula used to find the area of a triangle when the lengths of its sides are known. It is given by the formula: Area = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter of the triangle and a, b, and c are the lengths of its sides.
| 2. Why is Heron's formula important in geometry? | |
Ans. Heron's formula is important in geometry because it provides a method to calculate the area of a triangle without needing to know its height or base. This formula is particularly useful when dealing with triangles that do not have a right angle.
| 3. Can Heron's formula be used for all types of triangles? | |
Ans. Yes, Heron's formula can be used for all types of triangles, whether they are equilateral, isosceles, or scalene. It is a general formula that can be applied to any triangle as long as the lengths of its sides are known.
| 4. How does Heron's formula relate to the Pythagorean theorem? | |
Ans. Heron's formula and the Pythagorean theorem are related in the sense that both are used to solve problems related to triangles. However, they serve different purposes. The Pythagorean theorem is used to find the length of one side of a right-angled triangle when the lengths of the other two sides are known. Heron's formula, on the other hand, is used to find the area of any type of triangle when the lengths of its sides are known.
| 5. Can Heron's formula be used to find the area of a quadrilateral or any other polygon? | |
Ans. No, Heron's formula is specifically designed to find the area of a triangle. It cannot be directly applied to find the area of a quadrilateral or any other polygon with more than three sides. For other polygons, different formulas or methods need to be used to find their areas.
About this Document
|
2.1K Views |
|
4.72/5 Rating |
|
Dec 27, 2024 Last updated |
Document Description: Value Based Questions- Heron’s Formula for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for Value Based Questions- Heron’s Formula have been prepared according to the Class 9 exam syllabus. Information about Value Based Questions- Heron’s Formula covers topics
like and Value Based Questions- Heron’s Formula Example, for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Value Based Questions- Heron’s Formula.
Introduction of Value Based Questions- Heron’s Formula in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & Value Based Questions- Heron’s Formula in Hindi for Mathematics (Maths) Class 9 course.
Download more important topics related with notes, lectures and mock test series for Class 9
Exam by signing up for free. Class 9: Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
Description
Full syllabus notes, lecture & questions for Class 9 Maths Chapter 10 Question Answers - Heron’s Formula - Class 9 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 9 | Best notes, free PDF download
Information about Value Based Questions- Heron’s Formula
In this doc you can find the meaning of Value Based Questions- Heron’s Formula defined & explained in the simplest way possible. Besides explaining types of
Value Based Questions- Heron’s Formula theory, EduRev gives you an ample number of questions to practice Value Based Questions- Heron’s Formula tests, examples and also practice Class 9
tests
|
Explore Courses for Class 9 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Free
,video lectures
,Sample Paper
,Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
,Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
,study material
,practice quizzes
,shortcuts and tricks
,Summary
,mock tests for examination
,Class 9 Maths Chapter 10 Question Answers - Heron’s Formula
,Important questions
,Semester Notes
,ppt
,Objective type Questions
,Extra Questions
,past year papers
,Viva Questions
,Exam
,Previous Year Questions with Solutions
,MCQs
;
Additional Information about Value Based Questions- Heron’s Formula for Class 9 Preparation
Value Based Questions- Heron’s Formula Free PDF Download
The Value Based Questions- Heron’s Formula 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 Value Based Questions- Heron’s Formula now and kickstart your journey towards success in the Class 9 exam.
Importance of Value Based Questions- Heron’s Formula
The importance of Value Based Questions- Heron’s Formula 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.
Value Based Questions- Heron’s Formula Notes
Value Based Questions- Heron’s Formula Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Value Based Questions- Heron’s Formula.
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, Value Based Questions- Heron’s Formula Notes on EduRev are your ultimate resource for success.
Value Based Questions- Heron’s Formula Class 9
The "Value Based Questions- Heron’s Formula 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 Value Based Questions- Heron’s Formula on the App
Students of Class 9 can study Value Based Questions- Heron’s Formula alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Value Based Questions- Heron’s Formula,
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 Value Based Questions- Heron’s Formula is prepared as per the latest Class 9 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup