Chapter 12 · Class 9 CBSE · Worksheet

Heron's Formula Worksheet — Class 9 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

Download Full PDF Worksheet

30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

Download Full PDF

Sample Questions — Heron's Formula

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

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

TopicHeron's Formula
BoardCBSE
Class9
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

Related Worksheets — Class 9 CBSE

Number Systems

Class 9 CBSE Worksheet

Polynomials

Class 9 CBSE Worksheet

Coordinate Geometry

Class 9 CBSE Worksheet

Linear Equations in Two Variables

Class 9 CBSE Worksheet

Introduction to Euclid's Geometry

Class 9 CBSE Worksheet

Lines & Angles

Class 9 CBSE Worksheet

Frequently Asked Questions

Where can I download a free Heron's Formula worksheet 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 questions at easy, medium, and hard levels with a complete answer key.
How many questions are in the Heron's Formula worksheet?+
Each SparkEd worksheet for Heron's Formula contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.
Does the Heron's Formula worksheet include answers?+
Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

Practice Heron's Formula Online — Free

Want more than a worksheet? Solve questions interactively with instant feedback, step-by-step solutions, and an AI coach. No signup required.

Start Practising Online

SparkEd Maths provides free printable maths worksheets for Class 1-10 across CBSE, ICSE, IB, Olympiad, UP Board, Maharashtra SSC, and TN Board. Every worksheet includes an answer key and is aligned to the 2025-26 syllabus.