Class 9 Exam > Class 9 Notes > Mathematics (Maths) Class 9 > Unit Test: Heron`s Formula
Unit Test: Heron`s Formula | Mathematics (Maths) Class 9 PDF Download
Time: 1 hour
M.M. 30
Attempt all questions.
Question numbers 1 to 5 carry 1 mark each.
Question numbers 6 to 8 carry 2 marks each.
Question numbers 9 to 11 carry 3 marks each.
Question numbers 12 & 13 carry 5 marks each.
Q1. Which Greek mathematician gave the formula for finding the area of a triangle when all three sides are known? (1 Mark)
Q2. What type of triangle is formed by sides 6 cm, 6 cm, and 6 cm? (1 Mark)
Q3. The semi-perimeter of a triangle is 20 cm, and one side is 12 cm. What is s–a? (1 Mark)
(a) 18 cm
(b) 32 cm
(c) 8 cm
(d) 12 cm
Q4. Find the semi-perimeter of a triangle with sides 9 cm, 12 cm, and 15 cm. (1 Mark)
(a) 18 cm
(b) 20 cm
(c) 22 cm
(d) 24 cm
Q5. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm2 is (1 Mark)
(a) Rs 2.00
(b) Rs 2.16
(c) Rs 2.48
(d) Rs 3.00
Q6. The perimeter of a given triangle is 30 cm. The sides are in the ratio 1: 3: 2, then its smallest side is (2 Marks)
Q7. The area of an isosceles triangle having a base 2 cm and the length of one of the equal sides 4 cm, is (2 Marks)
Q8. The sides of a triangle are in the ratio 12: 17: 25 and its perimeter is 540 cm. The area is (2 Marks)
Q9. A triangle has sides 13 cm, 14 cm, and 15 cm. Find the area and the altitude to the largest side. (3 Marks)
Q10. The perimeter of an isosceles triangle is 44 cm. The equal sides are 17 cm each. Find the area. (3 Marks)
Q11. The sides of a triangle are 15 cm, 20 cm, and 25 cm. Find the area and show that it is a right triangle. (3 Marks)
Q12. Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per m2. (5 Marks)
Q13. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3: 2. Find the area of the triangle. (5 Marks)
The document Unit Test: Heron`s Formula | Mathematics (Maths) Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
|
40 videos|560 docs|57 tests
|
FAQs on Unit Test: Heron`s Formula - Mathematics (Maths) Class 9
| 1. What is Heron's Formula and how is it used to calculate the area of a triangle? |  |
Ans.Heron's Formula is a method for finding the area of a triangle when the lengths of all three sides are known. If a triangle has sides of lengths a, b, and c, the area (A) can be calculated using the formula: A = √(s(s-a)(s-b)(s-c)), where s is the semi-perimeter of the triangle, calculated as s = (a + b + c) / 2. This formula is particularly useful when the height of the triangle is not known.
| 2. What are the steps involved in applying Heron's Formula to find the area of a triangle? | |
Ans.To apply Heron's Formula, follow these steps:
1. Measure the lengths of all three sides of the triangle (a, b, c).
2. Calculate the semi-perimeter (s) using the formula s = (a + b + c) / 2.
3. Substitute the values of s, a, b, and c into Heron's Formula: A = √(s(s-a)(s-b)(s-c)).
4. Simplify the expression inside the square root and calculate the square root to find the area.
| 3. Can Heron's Formula be used for all types of triangles? | |
Ans.Yes, Heron's Formula can be used for any type of triangle, including scalene, isosceles, and equilateral triangles, as long as the lengths of all three sides are known. It is a versatile formula that does not depend on the angles or height of the triangle.
| 4. What is the historical significance of Heron's Formula? | |
Ans.Heron's Formula is named after Hero of Alexandria, a Greek engineer and mathematician who lived during the 1st century AD. The formula demonstrates the mathematical understanding of geometry in ancient times and has been used for centuries in various cultures. Its widespread application in practical scenarios, such as land surveying and architecture, highlights its enduring relevance in mathematics.
| 5. How does Heron's Formula compare to other methods for calculating the area of a triangle? | |
Ans.Heron's Formula is particularly advantageous when the lengths of the sides are known but the height is not easily measurable. In contrast, other methods, such as the base-height formula (A = 1/2 × base × height), require knowledge of the height. Heron's Formula is also useful for irregular triangles, making it a widely applicable tool in geometry compared to more traditional methods.
About this Document
4.83/5
Rating
Sep 03, 2025
Last updated
Related Exams
Document Description: Unit Test: Heron`s Formula for Class 9 2025 is part of Mathematics (Maths) Class 9 preparation.
The notes and questions for Unit Test: Heron`s Formula have been prepared according to the Class 9 exam syllabus. Information about Unit Test: Heron`s Formula covers topics
like and Unit Test: Heron`s Formula Example, for Class 9 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Unit Test: Heron`s Formula.
Introduction of Unit Test: Heron`s Formula in English is available as part of our Mathematics (Maths) Class 9
for Class 9 & Unit Test: 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: Unit Test: Heron`s Formula | Mathematics (Maths) Class 9
Description
Full syllabus notes, lecture & questions for Unit Test: Heron`s Formula | Mathematics (Maths) Class 9 - 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 Unit Test: Heron`s Formula
In this doc you can find the meaning of Unit Test: Heron`s Formula defined & explained in the simplest way possible. Besides explaining types of
Unit Test: Heron`s Formula theory, EduRev gives you an ample number of questions to practice Unit Test: Heron`s Formula tests, examples and also practice Class 9
tests
Related Searches
practice quizzes
,Objective type Questions
,Semester Notes
,MCQs
,ppt
,study material
,Unit Test: Heron`s Formula | Mathematics (Maths) Class 9
,Summary
,shortcuts and tricks
,Viva Questions
,video lectures
,Exam
,Extra Questions
,Free
,Important questions
,Sample Paper
,past year papers
,Unit Test: Heron`s Formula | Mathematics (Maths) Class 9
,Previous Year Questions with Solutions
,Unit Test: Heron`s Formula | Mathematics (Maths) Class 9
,mock tests for examination
;
Additional Information about Unit Test: Heron`s Formula for Class 9 Preparation
Unit Test: Heron`s Formula Free PDF Download
The Unit Test: 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 Unit Test: Heron`s Formula now and kickstart your journey towards success in the Class 9 exam.
Importance of Unit Test: Heron`s Formula
The importance of Unit Test: 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.
Unit Test: Heron`s Formula Notes
Unit Test: 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 Unit Test: 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, Unit Test: Heron`s Formula Notes on EduRev are your ultimate resource for success.
Unit Test: Heron`s Formula Class 9 Questions
The "Unit Test: 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 Unit Test: Heron`s Formula on the App
Students of Class 9 can study Unit Test: Heron`s Formula alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Unit Test: 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 Unit Test: 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