**Case Study Questions Class 9 Maths Chapter 7 **are very important to solve for your exam. Class 9 Maths Chapter 7 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving case study-based** **questions for Class 9 Maths Chapter 7 **Triangles**

## Case Study Questions Class 9 Maths Chapter 7 Triangles

**Case Study 1.** A group of students is studying the properties of triangles. They came across the following scenario:

Three friends, Ankit, Bhavna, and Chetan, were discussing their recent hiking trip. During their hike, they noticed a triangular-shaped lake. They observed the following:

- The lake has three sides of different lengths.
- The sum of the lengths of any two sides of the lake is greater than the length of the third side.
- The largest angle of the lake is less than 90 degrees.
- The smallest angle of the lake is greater than 30 degrees.

Based on this information, the students were asked to analyze the properties of the triangle formed by the lake. Let’s see if you can answer the questions correctly:

**MCQ Questions:**

**Q1. The type of triangle formed by the lake is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (c) Scalene

**Q2. The sum of the measures of the three angles of the lake’s triangle is:**(a) 180 degrees

(b) 90 degrees

(c) 360 degrees

(d) It cannot be determined

Answer: (a) 180 degrees

**Q3. The lake’s triangle is an example of a triangle that satisfies the:**(a) Angle-side-angle (ASA) condition

(b) Side-angle-side (SAS) condition

(c) Side-side-side (SSS) condition

(d) None of the above

Answer: (c) Side-side-side (SSS) condition

**Q4. The measure of the largest angle of the lake’s triangle is:**(a) 30 degrees

(b) 60 degrees

(c) 90 degrees

(d) More than 90 degrees

Answer: (c) 90 degrees

**Q5. The measure of the smallest angle of the lake’s triangle is:**(a) 30 degrees

(b) 60 degrees

(c) 90 degrees

(d) Less than 30 degrees

Answer: (d) Less than 30 degrees

**Case Study 2.**A group of students is studying the properties of triangles. They encountered the following scenario:

Three friends, Rahul, Sana, and Tina, participated in a kite-flying competition. They noticed that their kites formed a triangular shape in the sky. They made the following observations:

- The lengths of two sides of the kite triangle are equal.
- The measure of the largest angle of the kite triangle is 90 degrees.
- The sum of the measures of the three angles of the kite triangle is 180 degrees.
- The lengths of the three sides of the kite triangle are in the ratio 3:4:5.

Based on this information, the students were asked to analyze the properties of the triangle formed by their kites. Let’s see if you can answer the questions correctly:

**MCQ Questions:**

**Q1. The type of triangle formed by their kites is:**(a) Equilateral

(b) Isosceles

(c) Scalene

(d) Right-angled

Answer: (b) Isosceles

**Q2. The length of the third side of the kite triangle is:**(a) 3 units

(b) 4 units

(c) 5 units

(d) It cannot be determined

Answer: (c) 5 units

**Q3. The kite triangle is an example of a triangle that satisfies the:**(a) Angle-side-angle (ASA) condition

(b) Side-angle-side (SAS) condition

(c) Side-side-side (SSS) condition

(d) None of the above

Answer: (b) Side-angle-side (SAS) condition

**Q4. The measure of the smallest angle of the kite triangle is:**(a) 30 degrees

(b) 45 degrees

(c) 60 degrees

(d) 90 degrees

Answer: (a) 30 degrees

**Q5. The lengths of the two equal sides of the kite triangle are:**(a) 3 units each

(b) 4 units each

(c) 5 units each

(d) It cannot be determined

Answer: (c) 5 units each

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