Chapter 12 · Class 9 CBSE · Free Worksheet PDF
Heron's Formula Sums for Class 9 — Free CBSE Worksheet PDF with Answers
Download a free printable heron's formula worksheet for Class 9 CBSE with 30 practice questions covering heron's formula concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.
Last updated: 5 May 2026
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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.
Sample Heron's Formula Sums for Class 9 — Practice Questions
Here are 8 sample heron's formula sums from this Class 9 CBSE worksheet. Download the full PDF for all 30 questions with answers.
Q1.Heron's Formula is particularly useful for finding the area of a triangle when:
A.The height and base of the triangle are known.
B.The triangle is equilateral and its side length is known.
C.All three side lengths of the triangle are known, but its height is not easily determined.
D.Only two side lengths and the included angle are known.
Difficulty: Easy
Q2.A triangle has side lengths 7 cm, 8 cm, and 9 cm. What is its semi-perimeter (s)?
A.12 cm
B.24 cm
C.16 cm
D.10 cm
Difficulty: Easy
Q3.Which of the following statements is TRUE about Heron's Formula for the area of a triangle?
A.The term 's' represents the longest side of the triangle.
B.The expression (s-a), (s-b), and (s-c) must all be positive for a valid triangle.
C.Heron's formula can only be used for equilateral triangles.
D.The area calculated using Heron's formula can sometimes be negative.
Difficulty: Easy
Q4.Ravi calculated the area of a triangle with sides 5 cm, 12 cm, and 13 cm using Heron's Formula. He found the semi-perimeter 's' as 15 cm. Then, he calculated (s-a) = 10, (s-b) = 3, (s-c) = 2. He incorrectly wrote the area as √(15 × 10 × 3 × 2) = √(900) = 30 cm². Where did Ravi make a mistake?
A.He made a mistake in calculating the semi-perimeter (s).
B.He made a mistake in calculating (s-a), (s-b), or (s-c).
C.He made a mistake in multiplying the terms inside the square root.
D.He made no mistake; the solution is correct.
Difficulty: Easy
Q5.Calculate the area of a triangle whose sides are 10 cm, 17 cm, and 21 cm.
A.84 cm²
B.105 cm²
C.120 cm²
D.96 cm²
Difficulty: Easy
Q6.Which set of side lengths CANNOT form a triangle?
A.6 cm, 8 cm, 10 cm
B.3 cm, 4 cm, 5 cm
C.7 cm, 7 cm, 14 cm
D.5 cm, 12 cm, 13 cm
Difficulty: Easy
Q7.A triangular park has sides 40 m, 24 m, and 32 m. A gardener wants to plant flowers in the entire park. What area does he need to prepare?
A.384 m²
B.480 m²
C.240 m²
D.768 m²
Difficulty: Easy
Q8.A right-angled triangle has sides 6 cm, 8 cm, and 10 cm. Which statement correctly compares finding its area using Heron's Formula versus the standard formula (1/2 × base × height)?
A.Heron's Formula is always faster and simpler for right-angled triangles.
B.The standard formula (1/2 × base × height) is simpler as the base and height are the two shorter sides.
C.Both formulas yield different results for a right-angled triangle.
D.Heron's Formula cannot be used for right-angled triangles.
Difficulty: Easy
Answer Key — Sample Questions+
Q1:All three side lengths of the triangle are known, but its height is not easily determined.
Q2:12 cm
Q3:The expression (s-a), (s-b), and (s-c) must all be positive for a valid triangle.
Q4:He made no mistake; the solution is correct.
Q5:84 cm²
Q6:7 cm, 7 cm, 14 cm
Q7:384 m²
Q8:The standard formula (1/2 × base × height) is simpler as the base and height are the two shorter sides.
Download the full PDF for all 30 answers with step-by-step solutions.
About This Worksheet
| Topic | Heron's Formula |
|---|---|
| Board | CBSE |
| Class | 9 |
| Total Questions | 30 (10 Easy + 10 Medium + 10 Hard) |
| Answer Key | Included |
| Price | Free |
Related Worksheets — Class 9 CBSE
Frequently Asked Questions
Where can I download free heron's formula sums for Class 9?+
You can download a free Heron's Formula PDF worksheet for Class 9 CBSE right here on SparkEd. The worksheet includes 30 practice questions (heron's formula concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many heron's formula questions are in this Class 9 worksheet?+
This SparkEd worksheet for Heron's Formula Class 9 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover heron's formula concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Heron's Formula worksheet for Class 9 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this heron's formula worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 9 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Heron's Formula worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include heron's formula word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.
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