अध्याय 12 · Class 9 UP Board · Free Worksheet PDF

Heron's Formula Sums for Class 9 — Free UP Board Worksheet PDF with Answers

Download a free printable heron's formula worksheet for Class 9 UP Board with 30 practice questions covering heron's formula concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. UP Board-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.

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Sample Heron's Formula Sums for Class 9 — Practice Questions

Here are 8 sample heron's formula sums from this Class 9 UP Board worksheet. Download the full PDF for all 30 questions with answers.

Q1.एक त्रिभुज की भुजाएँ 12 cm, 17 cm और 25 cm हैं। त्रिभुज का अर्ध-परिमाप (semi-perimeter) क्या है?
A.27 cm
B.54 cm
C.18 cm
D.32 cm

Difficulty: Easy

Q2.उस त्रिभुज का क्षेत्रफल ज्ञात कीजिए जिसकी भुजाएँ 8 cm, 15 cm और 17 cm हैं।
A.60 वर्ग cm
B.120 वर्ग cm
C.30 वर्ग cm
D.90 वर्ग cm

Difficulty: Easy

Q3.एक समबाहु त्रिभुज का परिमाप 60 cm है। उसका क्षेत्रफल ज्ञात कीजिए।
A.1003100\sqrt{3} वर्ग cm
B.2003200\sqrt{3} वर्ग cm
C.50350\sqrt{3} वर्ग cm
D.3003300\sqrt{3} वर्ग cm

Difficulty: Easy

Q4.एक त्रिभुज की दो भुजाएँ 10 cm और 12 cm हैं और उसका परिमाप 32 cm है। इस त्रिभुज का क्षेत्रफल क्या है?
A.24224\sqrt{2} वर्ग cm
B.32232\sqrt{2} वर्ग cm
C.16216\sqrt{2} वर्ग cm
D.48248\sqrt{2} वर्ग cm

Difficulty: Easy

Q5.एक त्रिभुजाकार खेत की भुजाओं का अनुपात 3:5:7 है और उसका परिमाप 300 m है। खेत का क्षेत्रफल ज्ञात कीजिए।
A.150031500\sqrt{3} वर्ग m
B.100031000\sqrt{3} वर्ग m
C.7503750\sqrt{3} वर्ग m
D.200032000\sqrt{3} वर्ग m

Difficulty: Easy

Q6.हीरोन के सूत्र s(s−a)(s−b)(s−c)\sqrt{s(s-a)(s-b)(s-c)} में 's' क्या दर्शाता है?
A.त्रिभुज का परिमाप
B.त्रिभुज का अर्ध-परिमाप
C.त्रिभुज की सबसे बड़ी भुजा
D.त्रिभुज की ऊंचाई

Difficulty: Easy

Q7.एक समद्विबाहु त्रिभुज का आधार 12 cm है और प्रत्येक बराबर भुजा 10 cm है। इस त्रिभुज का क्षेत्रफल क्या होगा?
A.48 वर्ग cm
B.60 वर्ग cm
C.36 वर्ग cm
D.72 वर्ग cm

Difficulty: Easy

Q8.एक त्रिभुज का क्षेत्रफल 24 वर्ग cm है और उसका आधार 8 cm है। इस आधार के संगत त्रिभुज की ऊंचाई क्या होगी?
A.6 cm
B.3 cm
C.12 cm
D.4 cm

Difficulty: Easy

Answer Key — Sample Questions+
Q1:27 cm
Q2:60 वर्ग cm
Q3:$100\sqrt{3}$ वर्ग cm
Q4:$32\sqrt{2}$ वर्ग cm
Q5:$1500\sqrt{3}$ वर्ग m
Q6:त्रिभुज का अर्ध-परिमाप
Q7:48 वर्ग cm
Q8:6 cm

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

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

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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 UP Board 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 UP Board syllabus?+
Yes. This worksheet is specifically designed for Class 9 UP Board students and aligned to the 2025-26 UP Board syllabus. All questions follow the UP Board 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 UP Board exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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