MCQ on Heron's Formula | Class 9 Mathematics Chapter 10

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 10. The name of the chapter is “Heron’s Formula”. So, basically, this post contains 30 MCQs on Heron’s Formula. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

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The Chapter deals with the following topics:

Area of a Triangle — by Heron’s Formula
and Examples

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Heron’s Formula for Class 9 Maths Chapter 10

1. What is Heron’s formula for the area of a triangle with sides $a$, $b$, and $c$?

A. $\sqrt{(s+a)(s+b)(s+c)}$ B. $\sqrt{s(s-a)(s+b)(s+c)}$ C. $\sqrt{s(s-a)(s-b)(s-c)}$ D. $\frac{1}{2} \times \text{base} \times \text{height}$

2. The semi-perimeter ($s$) of a triangle with sides 40 m, 32 m, and 24 m is:

A. 48 m B. 96 m C. 24 m D. 32 m

3. A triangular park has sides 40 m, 32 m, and 24 m. What is its area using Heron’s formula?

A. 480 m² B. 384 m² C. 320 m² D. 250 m²

4. For an equilateral triangle with side 10 cm, what is the semi-perimeter ($s$)?

A. 15 cm B. 30 cm C. 10 cm D. 5 cm

5. A triangle has sides 8 cm, 11 cm, and 13 cm. What is its area using Heron’s formula?

A. $8\sqrt{15}$ cm² B. $8\sqrt{30}$ cm² C. $12\sqrt{5}$ cm² D. $16\sqrt{3}$ cm²

6. The sides of a triangle are in the ratio 3:5:7, and its perimeter is 300 m. What is its area?

A. $1200\sqrt{3}$ m² B. $1500\sqrt{3}$ m² C. $900\sqrt{5}$ m² D. $750\sqrt{2}$ m²

7. An isosceles triangle has equal sides of 12 cm and a perimeter of 30 cm. What is its area?

A. $9\sqrt{3}$ cm² B. $12\sqrt{5}$ cm² C. $18\sqrt{2}$ cm² D. $15\sqrt{7}$ cm²

8. A triangular plot has sides 60 m, 100 m, and 140 m. What is its semi-perimeter?

A. 150 m B. 200 m C. 120 m D. 180 m

9. If the perimeter of a triangle is 42 cm and two sides are 18 cm and 10 cm, the third side is:

A. 12 cm B. 14 cm C. 16 cm D. 20 cm

10. A traffic signal board (equilateral triangle) has a perimeter of 180 cm. What is its area?

A. $900\sqrt{3}$ cm² B. $225\sqrt{3}$ cm² C. $450\sqrt{3}$ cm² D. $300\sqrt{3}$ cm²

11. A triangular wall with sides 122 m, 22 m, and 120 m is used for advertisements. What is its area?

A. 1320 m² B. 1440 m² C. 1560 m² D. 1220 m²

12. The cost of fencing a triangular park at ₹20 per meter (leaving 3 m for a gate) is ₹4940. What is the park’s perimeter?

A. 250 m B. 247 m C. 253 m D. 260 m

13. A triangle with sides 15 m, 11 m, and 6 m has an area of:

A. $12\sqrt{2}$ m² B. $6\sqrt{10}$ m² C. $9\sqrt{5}$ m² D. $8\sqrt{7}$ m²

14. Heron’s formula is also known as:

A. Hero’s formula B. Pythagoras’ formula C. Archimedes’ formula D. Euler’s formula

15. If a triangle’s sides are 12 cm, 17 cm, and 25 cm, its semi-perimeter is:

A. 27 cm B. 54 cm C. 22.5 cm D. 32 cm

16. A triangle with sides 12 cm, 16 cm, and 20 cm is:

A. Equilateral B. Right-angled C. Isosceles D. Scalene

17. The area of a right-angled triangle with legs 24 m and 32 m is:

A. 384 m² B. 480 m² C. 240 m² D. 768 m²

18. Which of the following triangles can use Heron’s formula?

A. Only right-angled B. Only equilateral C. All triangles D. Only isosceles

19. A triangle with sides 5 cm, 5 cm, and 8 cm is:

A. Isosceles B. Equilateral C. Scalene D. Right-angled

20. A triangle has a semi-perimeter of 125 m. If two sides are 120 m and 50 m, the third side is:

A. 80 m B. 100 m C. 75 m D. 90 m

21. The formula $\frac{1}{2} \times \text{base} \times \text{height}$ is used when:

A. Height is known B. All sides are known C. Triangle is right-angled D. Triangle is equilateral

22. A triangle with sides 7 m, 24 m, and 25 m has an area of:

A. 84 m² B. 72 m² C. 96 m² D. 108 m²

23. The semi-perimeter of a triangle is 48 m. If two sides are 40 m and 24 m, the third side is:

A. 32 m B. 28 m C. 36 m D. 40 m

24. A triangle’s area is $375\sqrt{15}$ m². Its sides are 50 m, 80 m, and 120 m. What is $s – a$?

A. 5 m B. 45 m C. 75 m D. 125 m

25. If a triangle’s sides are doubled, its area becomes:

A. Double B. Four times C. Half D. Unchanged

26. Heron’s formula is used primarily when:

A. Height is unknown B. Triangle is equilateral C. Triangle is right-angled D. All angles are known

27. The area of a triangle with sides 3x, 5x, and 7x (perimeter 300 m) is:

A. $1500\sqrt{3}$ m² B. $1200\sqrt{5}$ m² C. $900\sqrt{15}$ m² D. $750\sqrt{2}$ m²

28. A triangle with sides 5 cm, 5 cm, and 8 cm has an area of:

A. 12 cm² B. 15 cm² C. 18 cm² D. 20 cm²

29. If a triangle’s area is zero, it is:

A. Equilateral B. Degenerate (collinear points) C. Right-angled D. Isosceles

30. A triangle with sides 12 cm, 16 cm, and 20 cm has an area of:

A. 96 cm² B. 120 cm² C. 144 cm² D. 160 cm²

Review Your Answers Above.

MCQ on Number Systems | Class 9 Mathematics Chapter 1
MCQ on Polynomials | Class 9 Mathematics Chapter 2
MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3
MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4
MCQ on Introduction to Euclid’s Geometry | Class 9 Mathematics Chapter 5
MCQ on Lines and Angles | Class 9 Mathematics Chapter 6
MCQ on Triangles | Class 9 Mathematics Chapter 7
MCQ on Quadrilaterals | Class 9 Mathematics Chapter 8
MCQ on Circles | Class 9 Mathematics Chapter 9
MCQ on Surface Areas and Volumes | Class 9 Mathematics Chapter 11
MCQ on Statistics | Class 9 Mathematics Chapter 12

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about Class 9 Mathematics Chapter 10 (Heron’s Formula) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Check out for more MCQs on other chapters of Class 9 Mathematics. We also have MCQs on other subjects ranging from Class 5 to 10.

Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

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MCQ on Heron’s Formula | Class 9 Mathematics Chapter 10