This quiz works best with JavaScript enabled. Home > Class 9 > Class 9 Maths Chapter 12 Heron'S Formula – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 12 Heron'S Formula Quiz 2 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the cost of laying grass in a triangular field of sides 50 m, 65 m and 65 m at the rate of Rs 7 per m square. A) Rs 10, 500. B) Rs 5, 500. C) Rs 1500. D) None of the above. Show Answer Correct Answer: A) Rs 10, 500. 2. The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is A) $\sqrt[]{15}$. B) $\sqrt[]{\frac{15}{2}}$. C) 2 $\sqrt[]{15}$. D) 4 $\sqrt[]{15}$. Show Answer Correct Answer: A) $\sqrt[]{15}$. 3. What is the purpose of Heron's formula? A) To find the angle measure in a triangle. B) To find the area of a non-right triangle. C) To find the side length of a triangle. D) To find the height of a triangle. Show Answer Correct Answer: B) To find the area of a non-right triangle. 4. The perimeter of an equilateral triangle is 60 m. The area is A) 10 $\sqrt[]{3}$. B) 15 $\sqrt[]{3}$. C) 20 $\sqrt[]{3}$. D) 100 $\sqrt[]{3}$. Show Answer Correct Answer: D) 100 $\sqrt[]{3}$. 5. A park, in the shape of a quadrilateral ABCD, hasAngle C = 90$^\circ$, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy? A) 65.5. B) 35.5. C) 30. D) None of these. Show Answer Correct Answer: A) 65.5. 6. The edge of a triangular boards are 6cm, 8cm, 10cm.Find the area of the board A) 20 sq.cm. B) 48 sq cm. C) 12 sq cm. D) 24 sq cm. Show Answer Correct Answer: D) 24 sq cm. 7. Find the area of a triangle two sides of which are 51, 38and the perimeter is 134 ( Use Heron's Formula ) A) $683936\\m^2$. B) $67\\m^2$. C) $827\\m^2$. D) $278\\m^2$. Show Answer Correct Answer: C) $827\\m^2$. 8. The sides of a triangle are in the ratio of 3:5:7 and its perimeter is 300 m. Find the sides. A) 60m, 100m and 140m. B) 70m, 90m and 140m. C) 50m, 110m, 140m. D) 80m, 100m, 120m. Show Answer Correct Answer: A) 60m, 100m and 140m. 9. The area of a triangle is 150 $cm^2$ A) 10cm. B) 30cm. C) 45cm. D) 60cm. Show Answer Correct Answer: D) 60cm. 10. The sides of a triangle is 3 cm, 4 cm and 5 cm. Find its area. A) 60 sq. cm. B) 30 sq. cm. C) 12 sq. cm. D) 6 sq. cm. Show Answer Correct Answer: D) 6 sq. cm. 11. The perimeter of a triangle is 36 cm. If its sides are in the ratio 1:3:2, then its largest side is A) 6 cm. B) 12 cm. C) 18 cm. D) None of these. Show Answer Correct Answer: C) 18 cm. 12. The area of equilateral triangle is $36\sqrt{3}cm^2$ A) 36 cm. B) $12\sqrt{3}cm$. C) 24 cm. D) 30 cm. Show Answer Correct Answer: A) 36 cm. 13. Find the semi perimeter of the triangle whose sides are 6 cm, 10 cm & 15 cm? A) 11.5 cm. B) 13.5 cm. C) 15.5 cm. D) 17.5 cm. Show Answer Correct Answer: C) 15.5 cm. 14. In a triangle, s is the semi perimeter and a, b and c are are the measure of sides of triangle such thats-a=15cms-b=21cms-c=16cmThen the parameter of the triangle is A) 52 cm. B) 26 cm. C) 104 cm. D) 78 cm. Show Answer Correct Answer: C) 104 cm. 15. The base of a right triangle is 48 cm and its hypotenuse is 50 cm. The area of the triangle is A) 168cm$^{2}$. B) 324cm$^{2}$. C) $^{A} $. D) 136cm$^{2}$. Show Answer Correct Answer: C) $^{A} $. 16. Which option is INCORRECT?Heron's Formula is used to find the area of triangle when A) Three sides are given. B) Two sides & perimeter is given. C) Height is given. D) Two sides & semi perimeter is given. Show Answer Correct Answer: C) Height is given. 17. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm$^{2}$ is A) ₹ 2.00. B) ₹ 2.16. C) ₹ 2.48. D) ₹ 3.00. Show Answer Correct Answer: B) ₹ 2.16. 18. A triangle has sides 9 c m, 11 cm and 16 cmfind the length of its smallest altitude. A) 67.4 cm. B) 47.6 cm. C) 9.5 cm. D) 5.9 cm. Show Answer Correct Answer: D) 5.9 cm. 19. The area of a triangular board is 200 cm$^{2}$. The cost of painting it at the rate of 9 paise per cm$^{2}$ is A) Rs. 12. B) Rs. 15. C) Rs. 18. D) Rs. 21. Show Answer Correct Answer: C) Rs. 18. 20. How many values must you have to use Heron's formula? A) 1. B) 2. C) 3. D) 4. Show Answer Correct Answer: D) 4. 21. The length of each side of an equilateral triangle having an area of 9 $\sqrt[]{3}$ A) 8 cm. B) 36 cm. C) 4 cm. D) 6 cm. Show Answer Correct Answer: D) 6 cm. 22. The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude is A) 16 $\sqrt[]{5}$. B) 10 $\sqrt[]{5}$. C) 24 $\sqrt[]{5}$. D) 28 $\sqrt[]{5}$. Show Answer Correct Answer: C) 24 $\sqrt[]{5}$. 23. Area of the triangle is equal to: A) 2(Base x Height). B) 1/2(Base x Height). C) 1/2 (Base + Height). D) Base x Height. Show Answer Correct Answer: B) 1/2(Base x Height). 24. The lengths of three sides of a triangle is 20 cm, 16 cm and 12 cm. The semi perimeter of the triangle is: A) 24 cm. B) 48 cm. C) 64 cm. D) 12 cm. Show Answer Correct Answer: A) 24 cm. 25. Two sides of a triangle are 18cm and 10cm. The perimeter is 42cm. Find the third side. A) 8cm. B) 10cm. C) 12cm. D) 14cm. 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