## MCQ Questions for Class 9 Maths: Ch 12 Heron's Formula

1. The area of an equilateral triangle having side length equal to âˆš3/4cm is:
(a) 2/27 sq.cm
(b) 2/15 sq.cm
(c) 3/16 sq.cm
(d) 3/14 sq.cm
â–º (c) 3/16 sq.cm

2. 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
â–º (d) 6 cm

3. 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:
(a) 4 cm
(b) 6 cm
(c) 5 cm
(d) 2 cm
â–º (b) 6 cm

4. The area of a triangle with base 8 cm and height 10 cm is
(a) 20 cm2
(b) 18 cm2
(c) 80 cm2
(d) 40 cm2
â–º (d) 40 cm2

5. The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 70 paise per cm2 is
(a) â‚¹17
(b) â‚¹16.80
(c) â‚¹7
(d) â‚¹16
â–º (b) â‚¹16.80

6.The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is :
(a) 10âˆš3 cm2
(b) 100âˆš3 cm2
(c) 300 cm2
(d) 50âˆš3 cm2
â–º (a) 10âˆš3 cm2

7. The area of a right angled triangle if the radius of its circumcircle is 3 cm and altitude drawn to the hypotenuse is 2 cm.
(a) 6 cm2
(b) 3 cm2
(c) 4 cm2
(d) 8 cm2
â–º (a) 6 cm2

8. Each side of an equilateral triangle measures 10 cm. Then the area of the triangle is
(a) 43.3 cm2
(b) 43.1 cm2
(c) 43.4 cm2
(d) 43.2 cm2
â–º (a) 43.3 cm2

9. Length of perpendicular drawn on smallest side of scalene triangle is
(a) Smallest
(b) Largest
(c) No relation
(d) None
â–º (c) No relation

10. The area of a triangle whose sides are 12 cm, 16 cm and 20 cm is
(a) 96 cm2
(b) 320 cm2
(c) 240 cm2
(d) 72 cm2
â–º (a) 96 cm2

11. 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 areâ€‹
(a) 48 cm,2320 cm2
(b) 48 cm,1820 cm2
(c) 88 cm, 1320 cm2
(d) 48 cm, 1320 cm2
â–º (d) 48 cm, 1320 cm2

12. A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m2. The cost of painting is:â€‹
(a) â‚¹320
(b) â‚¹350
(c) â‚¹340
(d) â‚¹160
â–º (a) â‚¹320

13. The area of quadrilateral PQRS, in which PQ = 7 cm, QR = 6 cm, RS = 12 cm, PS = 15 cm and PR = 9 cm:â€‹
(a) 74.98 cm2
(b) 25.25 cm2
(c) 75 cm2
(d) 68.25 cm2
â–º (a) 74.98 cm2

14. Length of perpendicular drawn on longest side of a scale â–³ is
(a) Smallest
(b) Largest
(c) No relation
(d) None
â–º (a) Smallest

15. If the height of a parallelogram having 500 cm2 as the area is 20 cm, then its base is of length
(a) 25 cm
(b) 15 cm
(c) 20 cm
(d) 50 cm
â–º (a) 25 cm

16. The area of an equilateral triangle of side 6 cm isâ€‹
(a) 18 cm2
(b) 9âˆš3 cm2
(c) 56âˆš3 cm2
(d) 58âˆš3 cm2
â–º (b) 9âˆš3 cm2

17. The perimeter of a rhombus is 20 cm. One of its diagonals is 8 cm. Then area of the rhombus is
(a) 24 cm2
(b) 42 cm2
(c) 18 cm2
(d) 36 cm2
â–º (a) 24 cm2

18. 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 cm2
(b) 100 cm2
(c) 50 cm2
(d) 60 cm2
â–º (d) 60 cm2
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