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03

PRACTICE · CLASS 9 MATHEMATICS (NCERT)

Heron's Formula Practice Questions & PYQs

Practice important exam questions and previous year problems for Class 9 Heron's Formula organized by mark distribution for self-assessment.

01 · 1 MARK PRACTICE QUESTIONS

Short Answer / Objective Questions

1 MARK

Q1. Write Heron's formula for finding the area of a triangle.

1 MARK

Q2. Find the semi-perimeter of an equilateral triangle having side length 12 cm.

02 · 2 MARKS PRACTICE QUESTIONS

Short Proofs & Calculations

2 MARKS

Q3. Find the area of a triangle two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

2 MARKS

Q4. Find the area of an isosceles triangle with equal sides 6 cm each and base 8 cm using Heron's formula.

03 · 3 MARKS PRACTICE QUESTIONS

Intermediate Problem Solving

3 MARKS

Q5. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area.

3 MARKS

Q6. A traffic signal board, indicating 'SCHOOL AHEAD', is an equilateral triangle with side 'a'. Find the area of the signal board using Heron's formula. If its perimeter is 180 cm, what will be its area?

04 · 5 MARKS PRACTICE QUESTIONS

Long Answer & Application Problems

5 MARKS

Q7. A triangular park ABC has sides 120 m, 80 m and 50 m. A gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of ₹20 per metre leaving a space 3 m wide for a gate on one side.