How can I double check my math answers?

Resolve equations using alternative methods (e.g., check quadratic roots by plugging them back into ax² + bx + c), verify decimals using scientific solvers, and review step-by-step worked calculations.

Where are these syllabus concepts applied in real life?

Trigonometry is used in architecture, mechanics and navigation. Quadratic equations model rocket trajectories and profit boundaries. Basic arithmetic and fractions are applied in accounting, budgeting and lab chemistry.

Back to Class IX Mathematics

Class IX Mathematics

Chapter 10: Heron's Formula

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Select Syllabus Tab:

Syllabus Sections

Print-Ready Math Worksheet

Generate and print a beautiful chapter worksheet complete with key equations, problems, and dedicated writing spaces.

Worksheet Details:

• Title: Class IX Math: Heron's Formula Printable Sheet
• Format: Print Optimized CSS stylesheet
• Sections: Formulas checklist, 5 assessment questions, worked keys

NexPro Education Worksheet

Class IX Mathematics: Heron's Formula

Name: ______________________Date: __________________Score: ______ / 5

Section I: Key Formulas

Semi-perimeter

s = \frac{a+b+c}{2}

Heron's Formula

A = \sqrt{s(s-a)(s-b)(s-c)}

Section II: Answer the Questions

1. A gardener has to put double fence all around a triangular field with sides 120 m, 80 m and 60 m. In the middle of each of the sides, there is a gate of width 10 m. (i) Find the length of wire needed for fencing. (ii) Find the cost of fencing at the rate of ₹ 6 per metre. (iii) Find the area of triangular field. (iv) Find the cost of levelling the ground at the rate of ₹ 10 per m2.

Solve and write the step-by-step solution in the workspace below.

2. [Worksheet Question 1] Apply the formula Semi-perimeter to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

3. [Worksheet Question 2] Apply the formula Semi-perimeter to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

4. [Worksheet Question 3] Apply the formula Semi-perimeter to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

5. [Worksheet Question 4] Apply the formula Semi-perimeter to solve for coefficient constants. What is the value?

[ ] A. Constant value[ ] B. Dependent variable[ ] C. Zero[ ] D. Undefined

Recommended Worksheets from Other Chapters

Worksheet

Download Worksheet: Heron's Formula

Chapter: Heron's Formula

Open Sheet

Worksheet

Adjacent Worksheet: Circles

Chapter: Circles

Open Sheet

Worksheet

Adjacent Worksheet: Surface Areas and Volumes

Chapter: Surface Areas and Volumes

Open Sheet