Introduction to Heron’s Formula

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. A triangular park ABC has sides 120 m, 80 m and 50 m. A gardener, Dhania has to put a fence all around it and also plant grass inside. The area required and the cost of fencing it with barbed wire at the rate of Rs. 20 per metre leaving a space 3 m wide for a gate on one side will be

 A

 B

 C

 D

Question 1 of 20

2. The area of triangle, whose sides are 15 cm, 25 cm and 14 cm:

 A

 B

 C

 D

Question 2 of 20

3. The area of an equilateral triangle of side 6 cm is

 18 cm²

 9√3 cm²

 56√3 cm²

 58√3 cm²

Question 3 of 20

4. The perimeter of a rhombus is 146 cm. One of its diagonals is 55 cm. The length of the other diagonal and area of the rhombus are

 48 cm,2320 cm²

 48 cm,1820 cm²

 88 cm, 1320 cm²

 48 cm, 1320 cm²

Question 4 of 20

5. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per cm2. The cost of painting is:

 Rs.500

 Rs.320

 Rs.640

 Rs.550

Question 5 of 20

6. If each side of an equilateral triangle is increased by 2 cm, then its area increases by cm². The length of its each side and its area are respectively equal to

 A

 B

 C

 D

Question 6 of 20

7. The area of quadrilateral PQRS, in which PQ = 7 cm, QR = 6 cm, RS = 12 cm, PS = 15 cm and PR = 9 cm:

 74.98 cm²

 25.25 cm²

 75 cm²

 68.25 cm²

Question 7 of 20

8. The base of an isosceles triangle is 10 cm and one of its equal sides is 13 cm. The area of the triangle is

 80 cm²

 100 cm²

 50 cm²

 60 cm²

Question 8 of 20

9. The lengths of a triangle are 6 cm, 8 cm and 10 cm. Then the length of perpendicular from the opposite vertex to the side whose length is 8cm is:

 5 cm

 4 cm

 6 cm

 2 cm

Question 9 of 20

10. The perimeter of an isosceles right angled triangle having an area of 200 cm² is

 68.2 cm.

 69.2 cm

 88.2 cm

 68.5 cm

Question 10 of 20

11. 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:

 16 sq units

 2 sq units

 4 sq units

 0 sq units

Question 11 of 20

12. The area of a right triangle of height 15 m and base 20 m is

 160 m²

 150 m²

 210 m²

 216 m²

Question 12 of 20

13. The perimeter of a right triangle is 144 cm and its hypotenuse measures 65 cm. The other sides and its area are

 A

 B

 C

 D

Question 13 of 20

14. The area of an equilateral triangle of side 14 cm is

 A

 B

 C

 D

Question 14 of 20

15. The sides of a triangle are in the ratio 25 : 17 : 12 and its perimeter is 540m. The area of the triangle is

 12000 m²

 5000 m²

 9000 m²

 10000 m²

Question 15 of 20

16. The area of an equilateral triangle with perimeter 18x is:

 A

 B

 C

 D

Question 16 of 20

17. The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Its area is

 2598. 08m²

 5598. 08m²

 8598. 08m²

 6598. 08m²

Question 17 of 20

18. The area of a right triangle with base 5 m and altitude 12 m is

 15 m²

 9 m²

 50 m²

 30 m²

Question 18 of 20

19. There is a slide in a park. One of its side walls has been painted in some colour with a message “Keep the park green and Clean”. If sides of the wall are 15m, 11 m and 6 m, the area painted in colour is________.

 20 √6 m²

 10 √2 m²

 20 √2 m²

 20 √3 m²

Question 19 of 20

20. The area of triangle, whose sides are 15 cm, 25 cm and 14 cm is

 A

 B

 C

 D

Question 20 of 20

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