CLASS 09 · CHAPTER 10

Heron's Formula
Practice Questions

20 curated NCERT questions to test your problem-solving skills. Click on "Show Solution & Answer" to check step-by-step working.

20Questions

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Q1MCQ1 Mark

Area of an equilateral triangle with side a is given by:

Q2MCQ1 Mark

Semi-perimeter of a triangle with sides 8 cm, 11 cm and 13 cm is:

Q3MCQ1 Mark

Area of right triangle with base 6 cm and hypotenuse 10 cm is:

Q4MCQ1 Mark

If side of an equilateral triangle is 6 cm, its area is:

Q5Assertion-Reason1 Mark

Assertion (A): Area of triangle with sides 3cm, 4cm, 5cm is 6 cm². Reason (R): Heron's formula states Area = √[s(s-a)(s-b)(s-c)].

Q6Assertion-Reason1 Mark

Assertion (A): Perimeter of an equilateral triangle of side 10 cm is 30 cm. Reason (R): All three sides of an equilateral triangle are equal.

Q7Short Answer2 Marks

Find area of triangle with sides 13 cm, 14 cm and 15 cm.

Q8Short Answer2 Marks

Find area of isosceles triangle with equal sides 8 cm and base 6 cm.

Q9Short Answer2 Marks

An equilateral triangle has perimeter 60 cm. Find its area.

Q10Short Answer2 Marks

Find height of equilateral triangle of side 12 cm.

Q11Short Answer2 Marks

Cost of turfing triangular field of base 20 m and height 15 m at ₹5 per m².

Q12Long Answer3 Marks

Sides of a triangle are in ratio 12 : 17 : 25 and perimeter is 540 cm. Find area.

Q13Long Answer3 Marks

A triangular park ABC has sides 120m, 80m, 50m. Find area.

Q14Long Answer3 Marks

An isosceles triangle has perimeter 30 cm and equal sides 12 cm each. Find area.

Q15Long Answer3 Marks

A kite in shape of square with diagonal 32 cm and isosceles triangle of base 8 cm & sides 6 cm. Find total paper used.

Q16Case Study4 Marks

Case Study Scenario: A traffic signal board 'SCHOOL AHEAD' is equilateral triangle with side 'a'. Question: Find area of signal board if perimeter is 180 cm.

Q17Case Study4 Marks

Case Study Scenario: Floral design of 16 triangular tiles with sides 9 cm, 28 cm, 35 cm. Question: Find cost of polishing at 50p per cm².

Q18PYQ5 Marks

Field is trapezium with parallel sides 25m and 10m, non-parallel sides 14m and 13m. Find area.

Q19PYQ5 Marks

Rhombus field with side 30m and diagonal 48m for 18 cows. Find area per cow.

Q20PYQ5 Marks

Heron's Formula Practice Questions