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By Karan Singh Bisht
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Updated on 11 Sep 2025, 12:43 IST
Find Class 9 Maths Chapter 12 MCQs on Heron’s Formula online, complete with answers. These questions are designed as per the latest CBSE (2025-2026) syllabus and NCERT guidelines and follow the current Class 9 exam pattern. The MCQs are organized chapter-wise for easy practice, with detailed explanations provided for each question. Explore more chapter-specific Class 9 Maths MCQs at Infinity Learn (IL).
Q. The sides of a triangle are 3 cm, 4 cm, and 5 cm. Its area is:
a) 6 cm² b) 12 cm² c) 7 cm² d) 5 cm²
Answer: a) 6 cm²
Q. For a triangle with sides 5 cm, 12 cm, and 13 cm, the area is:
a) 30 cm² b) 60 cm² c) 36 cm² d) 50 cm²
Answer: b) 30 cm²
Q. Heron’s formula requires which of the following to calculate area?
a) Base and height b) Three sides c) Angles d) Two sides
Answer: b) Three sides
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Q. The semi-perimeter (s) of a triangle with sides 6 cm, 8 cm, 10 cm is:
a) 12 cm b) 10 cm c) 14 cm d) 15 cm
Answer: a) 12 cm
Q. The area of a triangle with sides 7 cm, 24 cm, and 25 cm is:
a) 84 cm² b) 60 cm² c) 70 cm² d) 72 cm²
Answer: a) 84 cm²
Q. A triangle with sides 9 cm, 12 cm, 15 cm is:
a) Equilateral b) Right-angled c) Isosceles d) Scalene
Answer: b) Right-angled
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Q. Area of triangle with sides 13 cm, 14 cm, 15 cm using Heron’s formula:
a) 84 cm² b) 84.5 cm² c) 84.9 cm² d) 85 cm²
Answer: a) 84 cm²
Q. If sides of a triangle are equal, Heron’s formula reduces to:
a) √3/4 × a² b) ½ × base × height c) ab × sinC/2 d) None
Answer: a) √3/4 × a²
Q. A triangle has sides 8 cm, 15 cm, and 17 cm. Its area is:
a) 60 cm² b) 80 cm² c) 100 cm² d) 120 cm²
Answer: b) 60 cm²
Q. If a triangle has sides 5 cm, 5 cm, 6 cm, the semi-perimeter (s) is:
a) 7 cm b) 8 cm c) 6 cm d) 10 cm
Answer: b) 8 cm
Q. The area of an equilateral triangle of side 10 cm is:
a) 50√3 cm² b) 25√3 cm² c) 100 cm² d) 30√3 cm²
Answer: a) 25√3 cm²
Q. A triangle has sides 6 cm, 8 cm, 10 cm. Its area using Heron’s formula:
a) 20 cm² b) 24 cm² c) 25 cm² d) 30 cm²
Answer: b) 24 cm²
Q. A triangle has sides 7 cm, 7 cm, 10 cm. Area is:
a) 24 cm² b) 20 cm² c) 21 cm² d) 18 cm²
Answer: c) 21 cm²
Q. If a triangle has sides 5 cm, 12 cm, 13 cm, it is:
a) Equilateral b) Isosceles c) Right-angled d) Scalene
Answer: c) Right-angled
Q. A triangle has area 30 cm² and sides 5 cm, 12 cm, 13 cm. The semi-perimeter is:
a) 15 cm b) 10 cm c) 12 cm d) 14 cm
Answer: a) 15 cm
Q. A triangle with sides 9 cm, 9 cm, 10 cm. Area is:
a) 40 cm² b) 39 cm² c) 41 cm² d) 42 cm²
Answer: b) 39 cm²
Q. Heron’s formula: Area = √[s(s−a)(s−b)(s−c)]. What is “s”?
a) Semi-perimeter b) Sum of sides c) Area d) Base
Answer: a) Semi-perimeter
Q. A triangle has sides 7 cm, 24 cm, 25 cm. Semi-perimeter = ?
a) 28 cm b) 27 cm c) 30 cm d) 26 cm
Answer: b) 28 cm
Q. If sides of a triangle are 8, 15, 17 cm, area = ?
a) 60 cm² b) 64 cm² c) 68 cm² d) 65 cm²
Answer: a) 60 cm²
Q. A triangle has sides 10, 10, 12 cm. Area = ?
a) 48 cm² b) 49 cm² c) 50 cm² d) 51 cm²
Answer: a) 48 cm²
Q. Which triangle type can have area calculated by Heron’s formula?
a) All types b) Only right-angled c) Only equilateral d) Only isosceles
Answer: a) All types
Q. A triangle with sides 13, 14, 15 cm. Semi-perimeter = ?
a) 21 cm b) 22 cm c) 23 cm d) 24 cm
Answer: b) 21 cm
Q. Triangle sides 7, 9, 12 cm. Area = ?
a) 28 cm² b) 30 cm² c) 31 cm² d) 32 cm²
Answer: b) 30 cm²
Q. A triangle with sides 3, 4, 5 cm. Which type is it?
a) Equilateral b) Right-angled c) Isosceles d) Scalene
Answer: b) Right-angled
Q. Triangle with sides 6, 10, 12 cm. Area = ?
a) 29.7 cm² b) 28.98 cm² c) 30 cm² d) 32 cm²
Answer: b) 29.7 cm²
Q. Sides 9, 12, 15 cm. Area = ?
a) 54 cm² b) 56 cm² c) 60 cm² d) 62 cm²
Answer: c) 54 cm²
Q. Triangle with sides 8, 15, 17 cm. Type?
a) Right-angled b) Isosceles c) Equilateral d) Scalene
Answer: a) Right-angled
Q. Heron’s formula can be used for a triangle with sides:
a) 1, 2, 3 b) 5, 5, 5 c) 3, 4, 5 d) All of these
Answer: d) All of these
Q. Area of triangle with sides 7, 24, 25 = ?
a) 84 cm² b) 80 cm² c) 88 cm² d) 86 cm²
Answer: a) 84 cm²
More Resources for Class 9 NCERT
Q. Semi-perimeter of triangle with sides 10, 10, 12 = ?
a) 15 cm b) 16 cm c) 18 cm d) 17 cm
Answer: b) 16 cm
Q. Triangle sides 9, 9, 12. Area = ?
a) 40 cm² b) 41 cm² c) 42 cm² d) 43 cm²
Answer: a) 40 cm²
Q. Sides 8, 15, 17. Semi-perimeter = ?
a) 20 cm b) 25 cm c) 30 cm d) 25 cm
Answer: a) 20 cm
Q. Triangle with sides 7, 24, 25. Area = ?
a) 60 cm² b) 72 cm² c) 84 cm² d) 90 cm²
Answer: c) 84 cm²
Q. Area of equilateral triangle with side 6 cm = ?
a) 9√3 cm² b) 12√3 cm² c) 18 cm² d) 15 cm²
Answer: a) 9√3 cm²
Q. Triangle sides 13, 14, 15. Area = ?
a) 84 cm² b) 85 cm² c) 86 cm² d) 87 cm²
Answer: a) 84 cm²
Q. Triangle sides 21, 20, 29. Area = ?
a) 210 cm² b) 200 cm² c) 220 cm² d) 230 cm²
Answer: a) 210 cm²
Q. Triangle sides 5, 6, 7. Semi-perimeter = ?
a) 9 cm b) 10 cm c) 11 cm d) 12 cm
Answer: b) 9 cm
Q. Area of triangle with sides 9, 10, 17?
a) 36 cm² b) 40 cm² c) 42 cm² d) 44 cm²
Answer: b) 36 cm²
Q. Triangle sides 15, 15, 24. Area?
a) 108 cm² b) 110 cm² c) 112 cm² d) 114 cm²
Answer: a) 108 cm²
Q. Triangle sides 8, 15, 17. Semi-perimeter = ?
a) 20 cm b) 21 cm c) 22 cm d) 23 cm
Answer: a) 20 cm
Q. Heron’s formula is applicable for which type of triangle?
a) Acute b) Obtuse c) Right d) All types
Answer: d) All types
Q. Area of triangle with sides 6, 8, 10 = ?
a) 24 cm² b) 25 cm² c) 26 cm² d) 28 cm²
Answer: a) 24 cm²
Q. Triangle sides 12, 13, 14. Area = ?
a) 72 cm² b) 78 cm² c) 84 cm² d) 80 cm²
Answer: c) 84 cm²
Q. Triangle sides 7, 15, 20. Area = ?
a) 48 cm² b) 49 cm² c) 50 cm² d) 51 cm²
Answer: a) 48 cm²
Q. Triangle sides 9, 12, 15. Area = ?
a) 54 cm² b) 60 cm² c) 63 cm² d) 65 cm²
Answer: b) 54 cm²
Q. Sides 5, 5, 8. Area = ?
a) 12 cm² b) 10 cm² c) 8 cm² d) 15 cm²
Answer: b) 12 cm²
Q. Area of triangle with sides 11, 12, 13?
a) 60 cm² b) 66 cm² c) 65 cm² d) 70 cm²
Answer: b) 66 cm²
Q. Triangle sides 9, 9, 10. Area = ?
a) 36 cm² b) 37 cm² c) 38 cm² d) 39 cm²
Answer: d) 39 cm²
Q. Triangle sides 14, 15, 16. Area = ?
a) 84 cm² b) 84.9 cm² c) 85 cm² d) 86 cm²
Answer: b) 84.9 cm²
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You can download chapter-wise MCQs with answers directly from Infinity Learn. Their resources are aligned with the latest NCERT syllabus and provide clear step-by-step solutions.
Infinity Learn offers interactive online quizzes and chapter-wise MCQs for Heron’s Formula. These exercises help you practice, test your knowledge, and instantly check your answers.
Start by understanding the Heron’s Formula concept and solving example problems. Then, practice the MCQs available on Infinity Learn regularly to improve speed, accuracy, and confidence.
It aim to solve 30–50 MCQs from Infinity Learn for thorough preparation. Include easy, moderate, and tricky questions to cover all possible patterns in your exams. Daily practice is more effective than occasional long sessions.