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🧾 CBSE · Class 9

Class 9 Maths: Heron's Formula Worksheet (with Answers)

A free, print-ready worksheet on Heron's Formula for CBSE Class 9 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 19 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The semi-perimeter of a triangle with sides a, b, c is:
    • (a) a + b + c
    • (b) (a + b − c)/2
    • (c) (a + b + c)/3
    • (d) (a + b + c)/2
  2. 2. Heron's formula for the area of a triangle is:
    • (a) ½ × base × height
    • (b) s(s − a)(s − b)(s − c)
    • (c) √(abc)
    • (d) √[s(s − a)(s − b)(s − c)]
  3. 3. For sides 3, 4, 5, the semi-perimeter is:
    • (a) 5
    • (b) 4
    • (c) 12
    • (d) 6
  4. 4. The area of a triangle with sides 3, 4, 5 cm is:
    • (a) 6 cm²
    • (b) 10 cm²
    • (c) 7.5 cm²
    • (d) 12 cm²
  5. 5. Write Heron's formula.
  6. 6. Find s for a triangle with sides 7, 8, 9.
  7. 7. Find the area of a triangular park with sides 40 m, 24 m and 32 m.
View answers
  1. 1. (d) (a + b + c)/2 — s = (a + b + c)/2.
  2. 2. (d) √[s(s − a)(s − b)(s − c)] — Area = √[s(s − a)(s − b)(s − c)].
  3. 3. (d) 6 — (3 + 4 + 5)/2 = 6.
  4. 4. (a) 6 cm² — √[6·3·2·1] = √36 = 6 cm².
  5. 5. Area = √[s(s − a)(s − b)(s − c)], where s = (a + b + c)/2.
  6. 6. s = (7 + 8 + 9)/2 = 12.
  7. 7. s = (40 + 24 + 32)/2 = 48. Area = √[48(48 − 40)(48 − 24)(48 − 32)] = √[48 × 8 × 24 × 16] = √147456 = 384 m².
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Every question is drawn from StudyMatic’s own Maths bank for Heron's Formula — nothing is auto-generated or invented. Pick how many of each type you want, add your own questions if you like, choose 1–4 paper sets for anti-cheating, and print the worksheet and answer key separately or save them as PDF.

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FAQ

Is this Class 9 Maths worksheet on Heron's Formula free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Heron's Formula worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 9 Maths, chapter “Heron's Formula”.