This quiz works best with JavaScript enabled. Home > Class 9 > 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 (25 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) 12 cm or 14 cm. C) 14 cm or 16 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) $\frac{\sqrt{3}}{2}A^2$. B) $\sqrt{3}A^2$. C) $4\sqrt{3}A^2$. 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) 13 cm. B) 15 cm. C) 17 cm. D) 19 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) 1322 cm$^{2}$. B) 1311 cm$^{2}$. C) 1344 cm$^{2}$. D) 1392 cm$^{2}$. Show Answer Correct Answer: C) 1344 cm$^{2}$. 7. The area of an equilateral triangle with side 2 $\sqrt[]{3}$ A) 5.196 cm$^{2}$. B) 0.866 cm$^{2}$. C) 3.496 cm$^{2}$. D) 1.732 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) 41 cm. B) 36 cm. C) 48 cm. D) 324 cm. Show Answer Correct Answer: B) 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) 10 cm. B) 8 cm. C) 6 cm. D) 12 $\sqrt{10}$. Show Answer Correct Answer: D) 12 $\sqrt{10}$. 10. What does s indicate in Herons formula A) Perimeter. B) Semi perimeter. C) Circumference. D) Don't Know. Show Answer Correct Answer: B) Semi perimeter. 11. What is the height of triangle ACD? A) 20 CM. B) 25 CM. C) 24 CM. D) 22 CM. Show Answer Correct Answer: D) 22 CM. 12. Which of the following relation is incorrect? $\frac{a+b+c}{2}$ A) 2s-a=b+c. B) $s=\frac{a+b+c}{2}$. C) 2s=a+b+c. D) S=2a+b+c. Show Answer Correct Answer: D) S=2a+b+c. 13. The area of a triangle is 150 sq.cm 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. Show Answer Correct Answer: D) 60 cm. 14. What is the length of each side of an equilateral triangle having an area of $4\sqrt{3}cm^2$ A) 4cm. B) 5cm. C) 6cm. D) 7cm. Show Answer Correct Answer: A) 4cm. 15. The sides of a triangular plot are in the ratio of 3:5:7 and its perimeteris 300 m. Find its area. A) 1500. B) $1500\sqrt{3}$. C) $1500\sqrt{5}$. D) $3000\sqrt{3}$. Show Answer Correct Answer: B) $1500\sqrt{3}$. 16. Area of a triangle (Heron's Formula) A) $\sqrt{\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. B) $s\left(s-a\right)\left(s-b\right)\left(s-c\right)$. C) $\sqrt{s\left(s-a\right)\left(s-b\right)}$. D) $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. Show Answer Correct Answer: D) $\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}$. 17. Sides of a Triangle are 5m, 12m and 13m. Find the area of the triangle. A) 20 sq m. B) 30 sq m. C) 25 sq m. D) 35 sq m. Show Answer Correct Answer: B) 30 sq m. 18. 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. 19. 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) 156 sq. cm. B) 78 sq. cm. C) 60 sq. cm. D) 504 sq. cm. Show Answer Correct Answer: C) 60 sq. cm. 20. 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) $32cm^2$. B) $54cm^2$. C) $67cm^2$. D) $72cm^2$. Show Answer Correct Answer: B) $54cm^2$. 21. 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) $\sqrt{15}cm^2$. 22. 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. 23. 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. 24. 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) 18 cm. C) 30 cm. D) 12 cm. Show Answer Correct Answer: A) 24 cm. 25. 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 $\sqrt[]{3}$. 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