Class 9 Maths MCQs – Application of Heron’s Formula in Real-Life Problems
Class 9 Maths MCQs – Application of Heron’s Formula in Real-Life Problems
Class: 9 | Subject: Mathematics | Chapter: 10 – Heron’s Formula
Board: CBSE | Based on Latest NCERT Curriculum
Board: CBSE | Based on Latest NCERT Curriculum
These MCQs are strictly based on the CBSE Class 9 Mathematics syllabus and NCERT textbook. Ideal for exams and real-life application understanding.
1. A triangular park has sides 13 m, 14 m and 15 m. What is its area?
Answer: C.
s = (13+14+15)/2 = 21.
Area = √(21×8×7×6) = √7056 = 84 m².
s = (13+14+15)/2 = 21.
Area = √(21×8×7×6) = √7056 = 84 m².
2. A triangular field has sides 10 m, 10 m, 12 m. Semi-perimeter is:
Answer: A.
s = (10+10+12)/2 = 16 m.
s = (10+10+12)/2 = 16 m.
3. A triangular plot has sides 5 m, 12 m, 13 m. Its area is:
Answer: A.
s = 15. Area = √(15×10×3×2) = √900 = 30 m².
s = 15. Area = √(15×10×3×2) = √900 = 30 m².
4. A triangular garden has sides 7 m, 8 m, 9 m. Semi-perimeter equals:
Answer: A.
s = (7+8+9)/2 = 12 m.
s = (7+8+9)/2 = 12 m.
5. Area of triangle with sides 7 m, 8 m, 9 m is:
Answer: B.
Area = √(12×5×4×3) = √720 ≈ 26.83 m².
Area = √(12×5×4×3) = √720 ≈ 26.83 m².
6. Heron’s formula is useful when height is:
Answer: B.
Used when only sides known.
Used when only sides known.
7. Semi-perimeter means:
Answer: B.
Definition.
Definition.
8. A triangular banner has sides 6 cm, 8 cm, 10 cm. Area is:
Answer: A.
s=12; Area=√(12×6×4×2)=24 cm².
s=12; Area=√(12×6×4×2)=24 cm².
9. If area comes imaginary, it means:
Answer: B.
Triangle inequality fails.
Triangle inequality fails.
10. A farmer wants fencing of triangular land. First step is:
Answer: B.
Fencing requires perimeter.
Fencing requires perimeter.
11. A triangular park sides 9, 10, 17. Valid triangle?
Answer: A.
9+10>17.
9+10>17.
12. Heron’s formula avoids use of:
Answer: A.
No need for height.
No need for height.
13. Area always expressed in:
Answer: B.
Area unit square units.
Area unit square units.
14. If semi-perimeter is 15 and sides 6, 7, area formula becomes:
Answer: Use s(s-a)(s-b)(s-c) structure.
15. Heron’s formula works for:
Answer: D.
Works for all triangles.
Works for all triangles.
16. If sides 2, 3, 4, semi-perimeter is:
Answer: A.
(2+3+4)/2=4.5.
(2+3+4)/2=4.5.
17. Area of 6,8,10 triangle equals:
Answer: A.
Right triangle → area 24.
Right triangle → area 24.
18. For triangle 4,13,15, area is:
Answer: A.
s=16; Area=√(16×12×3×1)=24.
s=16; Area=√(16×12×3×1)=24.
19. Semi-perimeter depends on:
Answer: C.
Based on sides.
Based on sides.
20. Heron’s formula is mainly applied in:
Answer: A.
Used in mensuration/geometry.
Used in mensuration/geometry.
