You can find multiple-choice questions (MCQs) for Class 9 Maths Chapter 12 on Heron’s Formula online here. The answers to these questions are included. These MCQs follow the current Class 9 exam format. They are organized by chapter to match the CBSE (2024-2025) and NCERT guidelines. Detailed explanations for each question are also available. Explore chapter-specific MCQs for Class 9 Maths at Infinity Learn (IL)
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Class 9 Maths Chapter 12: Heron’s Formula MCQs
- The area of a triangle with sides 6 cm, 8 cm, and 10 cm is:
- A) 24 sq. cm
- B) 30 sq. cm
- C) 36 sq. cm
- D) 40 sq. cm
Answer: B) 30 sq. cm
- Heron’s formula is applicable for which type of triangles?
- A) Equilateral
- B) Isosceles
- C) Scalene
- D) Right-angled
Answer: C) Scalene
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- What is the semi-perimeter of a triangle with sides 5 cm, 12 cm, and 13 cm?
- A) 12 cm
- B) 15 cm
- C) 16 cm
- D) 20 cm
Answer: C) 16 cm
- If the sides of a triangle are 10 cm, 10 cm, and 10 cm, then its area using Heron’s formula will be:
- A) 10√3 sq. cm
- B) 25 sq. cm
- C) 50 sq. cm
- D) 100 sq. cm
Answer: A) 10√3 sq. cm
- The length of the perpendicular from the vertex to the base of a triangle with sides 6 cm, 8 cm, and 10 cm is:
- A) 4 cm
- B) 5 cm
- C) 6 cm
- D) 8 cm
Answer: A) 4 cm
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- If the sides of a triangle are in the ratio 3:4:5, then its area using Heron’s formula will be:
- A) 6 sq. units
- B) 12 sq. units
- C) 24 sq. units
- D) 36 sq. units
Answer: B) 12 sq. units
- What is the area of an equilateral triangle with side length 12 cm using Heron’s formula?
- A) 36√3 sq. cm
- B) 72 sq. cm
- C) 144 sq. cm
- D) 216 sq. cm
Answer: A) 36√3 sq. cm
- Heron’s formula is named after:
- A) An ancient Greek mathematician
- B) An Indian mathematician
- C) A Roman mathematician
- D) A Chinese mathematician
Answer: A) An ancient Greek mathematician
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- If the sides of a triangle are 7 cm, 24 cm, and 25 cm, then the triangle is:
- A) Acute-angled
- B) Obtuse-angled
- C) Right-angled
- D) Equilateral
Answer: C) Right-angled
- What is the area of a triangle with sides 9 cm, 12 cm, and 15 cm using Heron’s formula?
- A) 54 sq. cm
- B) 72 sq. cm
- C) 108 sq. cm
- D) 216 sq. cm
Answer: C) 108 sq. cm
- If the sides of a triangle are 8 cm, 15 cm, and 17 cm, then its area using Heron’s formula will be:
- A) 60 sq. units
- B) 72 sq. units
- C) 120 sq. units
- D) 144 sq. units
Answer: B) 72 sq. units
Also Check: Chapter 5 Introduction to Euclid’s Geometry MCQs
- If the sides of a triangle are 13 cm, 14 cm, and 15 cm, then the triangle is:
- A) Scalene
- B) Equilateral
- C) Isosceles
- D) Right-angled
Answer: D) Right-angled
- The perimeter of a triangle with sides 5 cm, 12 cm, and 13 cm is:
- A) 20 cm
- B) 30 cm
- C) 35 cm
- D) 40 cm
Answer: D) 40 cm
- What is the area of a triangle with sides 15 cm, 18 cm, and 21 cm using Heron’s formula?
- A) 120 sq. cm
- B) 180 sq. cm
- C) 240 sq. cm
- D) 360 sq. cm
Answer: C) 240 sq. cm
- If the sides of a triangle are 10 cm, 15 cm, and 20 cm, then its area using Heron’s formula will be:
- A) 40 sq. units
- B) 60 sq. units
- C) 80 sq. units
- D) 100 sq. units
Answer: B) 60 sq. units
- If the sides of a triangle are 9 cm, 10 cm, and 11 cm, then the triangle is:
- A) Scalene
- B) Equilateral
- C) Isosceles
- D) Right-angled
Answer: A) Scalene
- If the sides of a triangle are 5 cm, 12 cm, and 13 cm, then its area using Heron’s formula will be:
- A) 30 sq. units
- B) 35 sq. units
- C) 40 sq. units
- D) 45 sq. units
Answer: A) 30 sq. units
- The length of the altitude of a triangle with sides 6 cm, 8 cm, and 10 cm using Heron’s formula is:
- A) 3 cm
- B) 4 cm
- C) 5 cm
- D) 6 cm
Answer: B) 4 cm
- The length of the altitude of a triangle with sides 7 cm, 10 cm, and 13 cm using Heron’s formula is:
- A) 6 cm
- B) 7 cm
- C) 8 cm
- D) 9 cm
Answer: A) 6 cm
- If the sides of a triangle are 12 cm, 16 cm, and 20 cm, then its area using Heron’s formula will be:
- A) 72 sq. units
- B) 96 sq. units
- C) 120 sq. units
- D) 144 sq. units
Answer: C) 120 sq. units
- If the sides of a triangle are 11 cm, 12 cm, and 13 cm, then its area using Heron’s formula will be:
- A) 50 sq. units
- B) 60 sq. units
- C) 66 sq. units
- D) 72 sq. units
Answer: C) 66 sq. units
23. If the sides of a triangle are 10 cm, 15 cm, and 20 cm, then its area using Heron’s formula will be:
- A) 40 sq. units
- B) 60 sq. units
- C) 80 sq. units
- D) 100 sq. units
Answer: B) 60 sq. units
24. If the sides of a triangle are 12 cm, 16 cm, and 20 cm, then its area using Heron’s formula will be:
- A) 72 sq. units
- B) 96 sq. units
- C) 120 sq. units
- D) 144 sq. units
Answer: C) 120 sq. units
25. What is the area of a triangle with sides 7 cm, 10 cm, and 13 cm using Heron’s formula?
- A) 25 sq. cm
- B) 30 sq. cm
- C) 35 sq. cm
- D) 40 sq. cm
Answer: B) 30 sq. cm
26. The perimeter of an equilateral triangle with side length ‘a’ is:
- A) 2a
- B) 3a
- C) 4a
- D) 6a
Answer: B) 3a
27. If the sides of a triangle are 9 cm, 12 cm, and 16 cm, then its area using Heron’s formula will be:
- A) 54 sq. units
- B) 72 sq. units
- C) 90 sq. units
- D) 108 sq. units Answer: B) 72 sq. units
28. The length of the altitude of a triangle with sides 8 cm, 15 cm, and 17 cm using Heron’s formula is:
- A) 12 cm
- B) 13 cm
- C) 14 cm
- D) 15 cm
Answer: A) 12 cm
29. What is the area of a triangle with sides 11 cm, 15 cm, and 20 cm using Heron’s formula?
- A) 60 sq. cm
- B) 80 sq. cm
- C) 100 sq. cm
- D) 120 sq. cm
Answer: C) 100 sq. cm
30. The length of the altitude of a triangle with sides 5 cm, 12 cm, and 13 cm using Heron’s formula is:
- A) 4 cm
- B) 5 cm
- C) 6 cm
- D) 7 cm
Answer: A) 4 cm
31. If the sides of a triangle are 9 cm, 12 cm, and 15 cm, then its area using Heron’s formula will be:
- A) 54 sq. units
- B) 72 sq. units
- C) 90 sq. units
- D) 108 sq. units
Answer: B) 72 sq. units
32. What is the area of a triangle with sides 6 cm, 8 cm, and 10 cm using Heron’s formula?
- A) 20 sq. cm
- B) 24 sq. cm
- C) 30 sq. cm
- D) 36 sq. cm
Answer: C) 30 sq. cm
33. The length of the altitude of a triangle with sides 10 cm, 24 cm, and 26 cm using Heron’s formula is:
- A) 8 cm
- B) 12 cm
- C) 16 cm
- D) 20 cm
Answer: A) 8 cm
34. If the sides of a triangle are 8 cm, 10 cm, and 12 cm, then its area using Heron’s formula will be:
- A) 30 sq. units
- B) 40 sq. units
- C) 50 sq. units
- D) 60 sq. units
Answer: A) 30 sq. units
