Last Updated on May 4, 2025 by XAM CONTENT
Hello students, we are providing case study questions for class 7 Maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 Maths. In this article, you will find case study questions for cbse class 7 Maths chapter 7 A Tale of Three Intersecting Lines.
| Chapter | A Tale of Three Intersecting Lines |
| Book | Ganita Prakash for Grade 7 |
| Type of Questions | Case Study Questions |
| Nature of Questions | Competency Based Questions |
| Board | CBSE |
| Class | 7 |
| Subject | Maths |
| Useful for | Class 7 Studying Students |
| Answers provided | Yes |
| Difficulty level | Mentioned |
| Important Link | Class 7 Maths Chapterwise Case Study |
Case Study Questions on A Tale of Three Intersecting Lines
Case Study Question 1
Passage: Triangle Construction and Triangle Inequality
Ragini wanted to create different triangle shapes for her project using paper strips of various lengths. She picked three strips of lengths 3 cm, 4 cm, and 8 cm. Despite trying multiple times, she couldn’t join them to form a triangle. Her teacher explained to her about the triangle inequality and helped her explore which combinations of lengths can form valid triangles.
Q1. Which of the following is a correct condition of the triangle inequality theorem?
(a) Each side must be greater than the sum of the other two
(b) Each side must be less than the sum of the other two
(c) Each side must be equal to the other two
(d) Sum of all three sides should be greater than 180
Answer: (b)
Difficulty Level: Moderate
Explanation: For a triangle to exist, each side must be less than the sum of the other two.
Q2. Can a triangle be formed with lengths 3 cm, 4 cm, and 8 cm?
(a) Yes, always
(b) Only if it’s a right triangle
(c) No, triangle inequality fails
(d) Only in a scalene triangle
Answer: (c)
Difficulty Level: Moderate
Explanation: 3 + 4 = 7, which is less than 8. Hence, triangle cannot be formed.
Q3. Which of the following sets can form a triangle?
(a) 2 cm, 2 cm, 5 cm
(b) 5 cm, 6 cm, 12 cm
(c) 3 cm, 4 cm, 5 cm
(d) 1 cm, 1 cm, 3 cm
Answer: (c)
Difficulty Level: Easy
Explanation: All sets in (c) satisfy the triangle inequality condition.
Q4. If the sum of two smaller sides equals the longest side, what kind of triangle is formed?
(a) Right triangle
(b) Acute triangle
(c) Line segment, not a triangle
(d) Obtuse triangle
Answer: (c)
Difficulty Level: Tough
Explanation: If two sides add up exactly to the third, the figure is a straight line, not a triangle.
Case Study Question 2:
Passage: Triangle Construction with Angles and Sides
Kanishka wanted to draw a triangle with AB = 5 cm, ∠A = 60°, and ∠B = 70°. She wanted to find the third angle before construction and was also curious whether any triangle is possible if the sum of two angles is more than 180°.
Q1. What is the sum of angles in any triangle?
(a) 180°
(b) 360°
(c) 90°
(d) Depends on the triangle
Answer: (a)
Difficulty Level: Easy
Explanation: The sum of the interior angles in any triangle is always 180°.
Q2. If ∠A = 60° and ∠B = 70°, what is the measure of ∠C?
(a) 60°
(b) 50°
(c) 40°
(d) 30°
Answer: (b)
Difficulty Level: Easy
Explanation: 180° – (60° + 70°) = 50°
Q3. Can a triangle exist if the two given angles are 90° and 100°?
(a) Yes
(b) No
(c) Only if the side is small
(d) Only if all sides are equal
Answer: (b)
Difficulty Level: Moderate
Explanation: 90° + 100° = 190°, which exceeds 180°. Hence, triangle cannot exist.
Q4. In a triangle where ∠A = 45° and ∠B = 80°, how can the third angle ∠C be determined?
(a) Subtract their sum from 180°
(b) Average the two angles
(c) Add their values
(d) Construct the triangle and measure
Answer: (a)
Difficulty Level: Easy
Explanation: The third angle is found using: ∠C = 180° – (∠A + ∠B)
We hope the given case study questions for A Tale of Three Intersecting Lines Class 7 helps you in your learning.
Also check
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Topics from which case study questions may be asked
- Intersecting lines
- Triangles and their angles
- Simple constructions
Geometry starts with lines and angles forming complex shapes.
Frequently Asked Questions (FAQs) on A Tale of Three Intersecting Lines Case Study Questions
Q1: What is Ganita Prakash for Class 7 Maths?
A1: Ganita Prakash is the newly released NCERT textbook for Class 7 Mathematics, designed as per the National Education Policy (NEP) 2020. It promotes logical reasoning, activity-based learning, and real-life application of maths concepts.
Q2: How can I prepare for Class 7 Maths Case Study questions effectively?
A2: Practice chapterwise questions regularly, focus on understanding concepts, and review explanations for each answer. Solving a variety of moderate to tough level questions is key to mastering this format.
Q3: Are the Case Study questions based on the Ganita Prakash chapters?
A3: Yes, all questions are created strictly based on the topics and themes covered in the Ganita Prakash Class 7 Maths textbook to ensure alignment with the NCERT curriculum.
Q4: Where can I find chapterwise Case Study questions for Class 7 Maths?
A4: You can find them for free on xamcontent.com, organized by chapter and difficulty level, along with answers and explanations.
