Below you will find MCQ Questions of Chapter 12 Heron's Formula Class 9 Maths Free PDF Download that will help you in gaining good marks in the examinations and also cracking competitive exams. These Class 9 MCQ Questions with answers will widen your skills and understand concepts in a better manner.
MCQ Questions for Class 9 Maths Chapter 12 Heron's Formula with answers
1. The difference of semi-perimeter and the sides of △ABC are 8, 7 and 5 cm respectively. Its semi-perimeter ‘s’ is
(a) 20 cm
(b) 5 cm
(c) 15 cm
(d) 10 cm
► (a) 20 cm
2. An isosceles right triangle has area 8 cm2. The length of its hypotenuse is :
(a) √16 cm
(b) √48 cm
(c) √32 cm
(d) √24 cm
► (c) √32 cm
3. The base of a right angled triangle with area 300 cm2 and height 30 cm is
(a) 10 cm
(b) 30 cm
(c) 20 cm
(d) 15 cm
► (c) 20 cm
4. The area of a right triangle of height 15 m and base 20 m is
(a) 160 m^{2}
(b) 150 m^{2}
(c) 210 m^{2}
(d) 216 m^{2}
► (b) 150 m^{2}
5. The area of an equilateral triangle of side 14 cm is
(a) 49√3 cm^{2}
(b) 56√3 cm^{2}
(c) 58√3 cm^{2 }
(d) 18 cm^{2}
► (a) 49√3 cm^{2}
6. If side of a scalene △ is doubled then area would be increased by
(a) 100 %
(b) 50 %
(c) 25 %
(d) None of these
► (a) 100 %
7. The area of an equilateral triangle with perimeter 18x is:
(a) 9√3 sq. units
(b) 9x2√3 sq. units
(c) 18√3 sq. units
(d) 18x2√3 sq. units
► (b) 9x2√3 sq. units
8. If each side of an equilateral triangle is increased by 2 cm, then its area increases by 3√3 cm2. The length of its each side and its area are respectively equal to
(a) 3 cm, √3cm^{2}
(b) 2 cm, √3cm^{2 }
(c) 2 cm, √8 cm^{2}
(d) 2 cm, √5 cm^{2}
► (b) 2 cm, √3cm^{2 }
9. Find the length of each side of an equilateral triangle having area of 9 root 3 cm square
(a) 36 cm
(b) 5 cm
(c) 15 cm
(d) 6 cm
► (d) 6 cm
10. An isosceles right triangle has area 8 cm^{2}. The length of its hypotenuse is
(a) √32 cm
(b) √16 cm
(c) √48 cm
(d) √24 cm
► (a) √32 cm
11. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Its area is
(a) 2598. 08m^{2}
(b) 5598. 08m^{2}
(c) 8598. 08m^{2}
(d) 6598. 08m^{2}
► (a) 2598. 08m^{2}
12. The sides of a triangle are in ratio 3 : 4 : 5. If the perimeter of the triangle is 84 cm, then area of the triangle is :
(a) 294 cm^{2}
(b) 290 cm^{2}
(c) 274 cm^{2}
(d) 252 cm^{2}
► (a) 294 cm^{2}
13. Each of the equal sides of an isosceles triangle is 2 cm greater than its height. If the base of the triangle is 12 cm, then its area is
(a) 40 cm^{2}
(b) 24 cm^{2}
(c) 48 cm^{2}
(d) 36 cm^{2}
► (c) 48 cm^{2}
14. If the side of an equilateral triangle is 4 cm, then its area is
(a) 8√3 m^{2}
(b) 4√3 cm^{2}
(c) 12√3 cm^{2}
(d) 16√3 cm^{2}
► (b) 4√3 cm^{2}
15. Semiperimeter of scalene triangle of side k, 2k and 3k is
(a) k
(b) 3k
(c) 4k
(d) 2k
► (b) 3k
16. The sides of a triangle are in the ratio of 3 : 4 : 5. If its perimeter is 36 cm, then what is its area?
(a) 32 cm^{2}
(b) 54 cm^{2}
(c) 67 cm^{2}
(d) 72cm^{2}
► (b) 54 cm^{2}
17. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m2. The cost of painting is:
(a) Rs. 320
(b) Rs. 350
(c) Rs. 340
(d) Rs. 160
► (a) Rs. 320
18. A carpenter had to make a triangle with sides 5, 6, 5 units. By mistake he made one with sides 5, 8, 5 units. The difference between their areas is:
(a) 16 sq units
(b) 2 sq units
(c) 4 sq units
(d) 0 sq units
► (d) 0 sq units
19. The base of an isosceles triangle is 10 cm and one of its equal sides is 13 cm. The area of the triangle is
(a) 80 cm^{2}
(b) 100 cm^{2}
(c) 50 cm^{2}
(d) 60 cm^{2}
► (d) 60 cm^{2}
20. The sides of a triangle are in the ratio 25 : 17 : 12 and its perimeter is 540m. The area of the triangle is
(a) 12000 m^{2}
(b) 5000 m^{2}
(c) 9000 m^{2}
(d) 10000 m^{2}
► (c) 9000 m^{2}
21. The area of a triangle is 150 cm2 and its sides are in the ratio 3 : 4 : 5. What is its perimeter?
(a) 10 cm
(b) 30 cm
(c) 45 cm
(d) 60 cm
► (d) 60 cm
22. Given the product of diagonals of a rhombus ABCD is 2500 cm^{2}, its area is
(a) 1250 cm^{2}
(b) 625 cm^{2}
(c) 1200 cm^{2}
(d) 2000 cm^{2}
► (a) 1250 cm^{2}
Hope the given MCQ Questions will help you in cracking exams with good marks. These Heron's Formula MCQ Questions will help you in practising more and more questions in less time.