Case Study Questions with Full Solution | Heron’s Formula Class 9 | Chapter 10 | हेरॉन का सूत्र

🧮 Welcome to Infinix Classes by Faiz Sir!
In this video, we discuss Heron’s Formula (Chapter 10 - Class 9 Maths) focusing on Case Study Based Questions from CBSE and MYP curriculum.
These are Extra HOT, Exam-Oriented & Conceptual Problems that will boost your understanding of triangles, perimeter, and area using Heron’s Formula.

📘 Topics Covered:
✅ Case Study 1 – World Sandwich Day (Triangle sides 7 cm, 8 cm, 9 cm)
✅ Case Study 2 – International Kite Festival, Gujarat (Triangle sides 10 cm, 10 cm, 12 cm)
✅ Case Study 3 – Farmer’s Field Problem (Triangle-based land area and cost)
✅ Step-by-step solutions with concept explanation
✅ Important for CBSE Class 9 | MYP 4 | NTSE | Olympiad | Final Exams

🎯 Concepts Explained:

How to apply Heron’s Formula

Finding area and perimeter of triangles

Solving real-life case studies

Calculating altitudes and costs using geometry

📌 Watch till the end for complete understanding and revision.
💬 Comment your score and queries below — Faiz Sir will reply personally!

📚 Instructor: Faiz Sir
📺 Channel: Infinix Classes – Simplifying Maths for Everyone



इस वीडियो में Infinix Classes by Faiz Sir आपको हेरॉन का सूत्र (Heron’s Formula) के केस स्टडी प्रश्नों का सम्पूर्ण समाधान बताएंगे।
यह वीडियो Class 9 Chapter 10 पर आधारित है और इसमें वास्तविक जीवन से जुड़े HOT प्रश्नों को सरल तरीके से हल किया गया है।

📘 कवर किए गए केस स्टडी:
1️⃣ वर्ल्ड सैंडविच डे से जुड़ा त्रिभुज प्रश्न
2️⃣ गुजरात के इंटरनेशनल पतंग उत्सव से जुड़ा प्रश्न
3️⃣ किसान के खेत पर आधारित ज्यामितीय प्रश्न

🧠 इन प्रश्नों से आप सीखेंगे:

Heron’s Formula का सही उपयोग

त्रिभुज का क्षेत्रफल और परिमाप निकालना

वास्तविक जीवन के गणितीय अनुप्रयोग

परीक्षा में आने वाले केस स्टडी प्रश्नों का विश्लेषण

📌 पूरा वीडियो देखें और कमेंट में अपने उत्तर शेयर करें।
#FaizSir के साथ सीखें आसान मैथ्स!

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Case Study 1:
World sandwich day is celebrated every year on 3 November. The sandwich got it's name from John Montagu in the 18th century. On the occasion of sandwich day, a food manufacturing company decided to make a record by making the biggest triangular sandwich.
Suppose sides of sandwich are 7 cm, 8 cm and 9 cm.
On the basis of the above information, solve the following questions:

Q1. Heron's formula is used for finding the:
a. area of circle b. area of triangle
c. area of cuboid d. area of cone

Q2. The perimeter of a triangle is:
a. 28 cm b. 24 cm
c. 26 cm d. 30 cm

Q3. The area of sandwich is:
a. 13 cm2 b. 12√5 cm2
c. 3√5 cm2 d. 7√9 cm2

Q4. The length of altitude to the smallest side of a triangle is:
a. (𝟐𝟒√𝟓)/𝟕 cm b. (𝟐𝟓√𝟓)/𝟕 cm
c. 𝟐𝟑/𝟕 cm d. 𝟏𝟑/𝟕 cm

Q5. The length of altitude to the largest side of a triangle is:
a. 𝟒√𝟓 cm b. (𝟖√𝟓)/𝟑 cm
c. (𝟒√𝟓)/𝟑 cm d. 𝟒√𝟕 cm



Case Study 2:
International kite festival in Gujarat also known as Uttarayan is one of the biggest festival celebrated in Gujarat. It is celebrated on the auspicious day of Makar Sankranti every year. It is a sign for the farmers about the beginning of
summer season. On the day of Uttarayan, Suresh a 16 year old boy wants to fly kite. He ordered a triangle shape kite whose sides are 10 cm, 10cm and 12 cm.

On the basis of the above information, solve the following questions:

Q1. The perimeter of a ▲ ABC is:
a. 22 cm b. 16 cm
c. 32 cm d. 24 cm


Q2. Find the area of triangle ABC.
a. 40 cm2 b. 48 cm2
c. 49 cm2 d. 50 cm2

Q3. The length of AD is:
a. 7 cm b. 8 cm
c. 5 cm d. Can not be determined

Q4. The area of ▲ ABD is:
a. 18 cm2 b. 20 cm2
c. 24 cm2 d. 23 cm2

Q5. If cost of paper is ₹ 1.50 per cm2, then the cost of making a kite is:
a. ₹ 75 b. ₹ 72
c. ₹ 80 d. ₹ 90




Case Study 3:
Mayank bought a triangle shape field and wants to grow potato and wheat on his field. He divided his field by joining opposite sides. On the largest park he grew wheat and on the rest part he grew potato. The dimensions of a park are shown in the park.

On the basis of the above information, solve the following questions:

Q1. Find the length of AC in a ▲ ABC.

Q2. Find the area of ▲ ABC.

Q3. If the cost of ploughing park is ₹ 5 per cm2, then find the total cost of ploughing the park.