This quiz works best with JavaScript enabled. Home > Cbse > Class 9 > Mathematics > Heron'S Formula > Class 9 Maths Chapter 12 Heron'S Formula – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 9 Maths Chapter 12 Heron'S Formula Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If area of isosceles triangle is 48 sq cm & length of one of its equal sides is 10 cm, then what is the base? A) 16 cm or 12 cm. B) 14 cm or 16 cm. C) 12 cm or 14 cm. D) 16 cm or 18 cm. Show Answer Correct Answer: A) 16 cm or 12 cm. 2. Area of a right angled triangle can be found using which formula? A) 1/2 + (Base X Height). B) 1/2 X Base X Height. C) 1/2 X (Base+Height). D) None of the above. Show Answer Correct Answer: B) 1/2 X Base X Height. 3. Area of an equilateral triangles is A is A) $4\sqrt{3}A^2$. B) $\frac{\sqrt{3}}{2}A^2$. C) $\sqrt{3}A^2$. D) $\frac{\sqrt{3}}{4}A^2$. Show Answer Correct Answer: D) $\frac{\sqrt{3}}{4}A^2$. 4. To which of the following triangles, Heron's formula can be used to find the area A) Scalene triangle. B) Equilateral triangle. C) Isosceles triangle. D) All the above. Show Answer Correct Answer: D) All the above. 5. If perimeter of a triangle is 42 cm, and two of the side are 13 cm & 12 cm respectively, then find the measure its third side. A) 19 cm. B) 15 cm. C) 17 cm. D) 13 cm. Show Answer Correct Answer: C) 17 cm. 6. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is A) 1344 cm$^{2}$. B) 1311 cm$^{2}$. C) 1322 cm$^{2}$. D) 1392 cm$^{2}$. Show Answer Correct Answer: A) 1344 cm$^{2}$. 7. The area of an equilateral triangle with side 2 $\sqrt[]{3}$ A) 5.196 cm$^{2}$. B) 1.732 cm$^{2}$. C) 0.866 cm$^{2}$. D) 3.496 cm$^{2}$. Show Answer Correct Answer: A) 5.196 cm$^{2}$. 8. The base of an isosceles triangle is 16 cm and it's area is 48 cm$^{2}$. The perimeter of the triangle is A) 48 cm. B) 41 cm. C) 36 cm. D) 324 cm. Show Answer Correct Answer: C) 36 cm. 9. One of the diagonals of a rhombus is 12 cm & its area is 54 sq cm.The perimeter of the rhombus is A) 12 $\sqrt{10}$. B) 8 cm. C) 6 cm. D) 10 cm. Show Answer Correct Answer: A) 12 $\sqrt{10}$. 10. What does s indicate in Herons formula A) Semi perimeter. B) Circumference. C) Don't Know. D) Perimeter. Show Answer Correct Answer: A) Semi perimeter. 11. What is the height of triangle ACD? A) 20 CM. B) 24 CM. C) 22 CM. D) 25 CM. Show Answer Correct Answer: C) 22 CM. 12. Which of the following relation is incorrect? $\frac{a+b+c}{2}$ A) 2s-a=b+c. B) 2s=a+b+c. C) $s=\frac{a+b+c}{2}$. D) S=2a+b+c. Show Answer Correct Answer: D) S=2a+b+c. 13. What is the length of each side of an equilateral triangle having an area of $4\sqrt{3}cm^2$ A) 6cm. B) 5cm. C) 7cm. D) 4cm. Show Answer Correct Answer: D) 4cm. 14. Area of a triangle (Heron's Formula) A) $\sqrt{s\left(s-a\right)\left(s-b\right)}$. B) $s\left(s-a\right)\left(s-b\right)\left(s-c\right)$. C) $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. D) $\sqrt{\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. Show Answer Correct Answer: C) $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. 15. Sides of a Triangle are 5m, 12m and 13m. Find the area of the triangle. A) 30 sq m. B) 35 sq m. C) 20 sq m. D) 25 sq m. Show Answer Correct Answer: A) 30 sq m. 16. The perimeter of a triangle is 36cm and its sides are in the ration 3:4:5. Then the sides are ..... A) 6 cm, 9 cm, 12 cm. B) 9 cm, 12 cm, 15 cm. C) 12 cm, 15 cm, 18 cm. D) None of the above. Show Answer Correct Answer: B) 9 cm, 12 cm, 15 cm. 17. Each of the equal sides of an isosceles triangle is 13 cm and its base is 24 cm. The area of the triangle is: A) 78 sq. cm. B) 60 sq. cm. C) 504 sq. cm. D) 156 sq. cm. Show Answer Correct Answer: B) 60 sq. cm. 18. 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) $54cm^2$. B) $32cm^2$. C) $72cm^2$. D) $67cm^2$. Show Answer Correct Answer: A) $54cm^2$. 19. The length of one of the equal sides of an isosceles triangle is 4 cm. If its be is 2 cm then what is its area? A) $\sqrt{15}cm^2$. B) $\sqrt{13}cm^2$. C) $\sqrt{12}cm^2$. D) None of the above. Show Answer Correct Answer: A) $\sqrt{15}cm^2$. 20. When do we use Heron's formula to find the area of a triangle? A) Depends on the question. B) When it's not possible to find the height of the triangle easily. C) When perimeter is not given. D) None of the above. Show Answer Correct Answer: B) When it's not possible to find the height of the triangle easily. 21. Herons formula is used to find area of A) Triangle. B) Quadrilateral. C) Both A and B. D) Depends on mood. Show Answer Correct Answer: C) Both A and B. 22. The lengths of the three sides of a triangle are 30cm, 24 cm and 18 cm respectively. The length of the altitude of the triangle corresponding to the smallest side is A) 24 cm. B) 30 cm. C) 18 cm. D) 12 cm. Show Answer Correct Answer: A) 24 cm. 23. Area of an equilateral triangle having each of the sides as 4 cm is: A) 3 $\sqrt[]{4}$. B) 4 $\sqrt[]{3}$. C) 36 cm$^{2}$. D) None of these. Show Answer Correct Answer: B) 4 $\sqrt[]{3}$. 24. 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. 25. 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) 4 $\sqrt[]{15}$. D) 2 $\sqrt[]{15}$. Show Answer Correct Answer: A) $\sqrt[]{15}$. 26. What is the purpose of Heron's formula? A) To find the height of a triangle. B) To find the side length of a triangle. C) To find the angle measure in a triangle. D) To find the area of a non-right triangle. Show Answer Correct Answer: D) To find the area of a non-right triangle. 27. The perimeter of an equilateral triangle is 60 m. The area is A) 15 $\sqrt[]{3}$. B) 20 $\sqrt[]{3}$. C) 10 $\sqrt[]{3}$. D) 100 $\sqrt[]{3}$. Show Answer Correct Answer: D) 100 $\sqrt[]{3}$. 28. 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. 29. The edge of a triangular boards are 6cm, 8cm, 10cm.Find the area of the board A) 20 sq.cm. B) 24 sq cm. C) 12 sq cm. D) 48 sq cm. Show Answer Correct Answer: B) 24 sq cm. 30. 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) $278\\m^2$. D) $827\\m^2$. Show Answer Correct Answer: D) $827\\m^2$. 31. 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. 32. The area of a triangle is 150 $cm^2$ A) 60cm. B) 10cm. C) 45cm. D) 30cm. Show Answer Correct Answer: A) 60cm. 33. The sides of a triangle is 3 cm, 4 cm and 5 cm. Find its area. A) 30 sq. cm. B) 60 sq. cm. C) 12 sq. cm. D) 6 sq. cm. Show Answer Correct Answer: D) 6 sq. cm. 34. 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. 35. The area of equilateral triangle is $36\sqrt{3}cm^2$ A) 24 cm. B) $12\sqrt{3}cm$. C) 36 cm. D) 30 cm. Show Answer Correct Answer: C) 36 cm. 36. Find the semi perimeter of the triangle whose sides are 6 cm, 10 cm & 15 cm? A) 11.5 cm. B) 15.5 cm. C) 13.5 cm. D) 17.5 cm. Show Answer Correct Answer: B) 15.5 cm. 37. 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) 104 cm. C) 78 cm. D) 26 cm. Show Answer Correct Answer: B) 104 cm. 38. The base of a right triangle is 48 cm and its hypotenuse is 50 cm. The area of the triangle is A) $^{A} $. B) 168cm$^{2}$. C) 324cm$^{2}$. D) 136cm$^{2}$. Show Answer Correct Answer: A) $^{A} $. 39. Which option is INCORRECT?Heron's Formula is used to find the area of triangle when A) Three sides are given. B) Height is given. C) Two sides & perimeter is given. D) Two sides & semi perimeter is given. Show Answer Correct Answer: B) Height is given. 40. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm$^{2}$ is A) ₹ 2.48. B) ₹ 2.00. C) ₹ 3.00. D) ₹ 2.16. Show Answer Correct Answer: D) ₹ 2.16. 41. A triangle has sides 9 c m, 11 cm and 16 cmfind the length of its smallest altitude. A) 47.6 cm. B) 5.9 cm. C) 67.4 cm. D) 9.5 cm. Show Answer Correct Answer: B) 5.9 cm. 42. 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. 18. B) Rs. 15. C) Rs. 21. D) Rs. 12. Show Answer Correct Answer: A) Rs. 18. 43. How many values must you have to use Heron's formula? A) 3. B) 4. C) 1. D) 2. Show Answer Correct Answer: B) 4. 44. 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. 45. The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude is A) 24 $\sqrt[]{5}$. B) 28 $\sqrt[]{5}$. C) 16 $\sqrt[]{5}$. D) 10 $\sqrt[]{5}$. Show Answer Correct Answer: A) 24 $\sqrt[]{5}$. 46. Area of the triangle is equal to: A) 1/2(Base x Height). B) 2(Base x Height). C) Base x Height. D) 1/2 (Base + Height). Show Answer Correct Answer: A) 1/2(Base x Height). 47. 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) 12 cm. C) 48 cm. D) 64 cm. Show Answer Correct Answer: A) 24 cm. 48. Two sides of a triangle are 18cm and 10cm. The perimeter is 42cm. Find the third side. A) 14cm. B) 12cm. C) 8cm. D) 10cm. Show Answer Correct Answer: A) 14cm. 49. If each side of an equilateral triangle is 6 cm, the semi perimeter will be A) 11 cm. B) 10 cm. C) 8 cm. D) 9 cm. Show Answer Correct Answer: D) 9 cm. 50. The sides of a triangle are 8 cm, 11 cm and 13 cm. What is its area? A) $3\sqrt{100}cm^2$. B) $8\sqrt{30}cm^2$. C) $6\sqrt{200}cm^2$. D) $4\sqrt{10}cm^2$. Show Answer Correct Answer: B) $8\sqrt{30}cm^2$. 51. What in the area of an equilateral triangle with side 2 cm? A) 4. B) $\sqrt{3}$. C) $\sqrt{6}$. D) $\sqrt{8}$. Show Answer Correct Answer: B) $\sqrt{3}$. 52. "s" in the heron's formula =? A) Semi-perimeter. B) Square root. C) Symmetry. D) Perimeter. Show Answer Correct Answer: A) Semi-perimeter. 53. What does 's' stands for in the Heron's formula? A) Semi-circle. B) Semi-perimeter. C) Semi-lure. D) Semi-axis. Show Answer Correct Answer: B) Semi-perimeter. 54. What is the semi-perimeter? A) Sum of the sides. B) The distance around a semi truck multiplied by the square root of the perimeter. C) 1/2 of the actual perimeter. D) A circular object rotated 90 degrees on its axis. Show Answer Correct Answer: C) 1/2 of the actual perimeter. 55. Heron was born in ..... in ..... A) Barunn Am Inn (Austria), 1889. B) Alexandria(Egypt), 10 AD. C) Frankfurt(Germany), 1929. D) Munich (Germany), 1900. Show Answer Correct Answer: B) Alexandria(Egypt), 10 AD. 56. An isosceles right triangle has an area of 8 sq. cm. The length of its hypotenuse is ..... cm A) $\sqrt{24}$. B) $\sqrt{16}$. C) $\sqrt{48}$. D) $\sqrt{32}$. Show Answer Correct Answer: D) $\sqrt{32}$. 57. If every side of a triangle is doubled then percentage increase of its area is A) 300%. B) 100%. C) 400%. D) 200%. Show Answer Correct Answer: A) 300%. 58. Another name for Heron's formula is: A) Hero's formula. B) Thales formula. C) Section formula. D) None of these. Show Answer Correct Answer: A) Hero's formula. 59. If the area of an equilateral triangle is 16 $\sqrt[]{3}$ A) 24 cm. B) 12 cm. C) 36 cm. D) 48 cm. Show Answer Correct Answer: A) 24 cm. 60. The base of a right triangle is 48 cm and it's hypotenuse is 50 cm long. The area of the triangle is ..... A) 168 cm$^{2}$. B) 504 cm$^{2}$. C) 252 cm$^{2}$. D) 336 cm$^{2}$. Show Answer Correct Answer: D) 336 cm$^{2}$. Next →Related QuizzesMathematics QuizzesClass 9 QuizzesClass 9 Maths Chapter 12 Heron'S Formula Quiz 2 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books