# MCQ Questions for Class 9 Maths Chapter 12 Heron’s Formula with Answers

Students are advised to solve the Heron’s Formula Multiple Choice Questions of Class 9 Maths to know different concepts. Practicing the MCQ Questions on Heron’s Formula Class 9 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Heron’s Formula Class 9 with answers provided with detailed solutions by looking below.

Question 1.
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

Question 2.
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

Question 3.
The area of quadrilateral PQRS, in which PQ = 7 cm, QR = 6 cm, RS = 12 cm, PS = 15 cm and PR = 9 cm:​
(a) 74.98 cm2
(b) 25.25 cm2
(c) 75 cm2
(d) 68.25 cm2

Question 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​
(a) 48 cm, 2320 cm2
(b) 48 cm, 1820 cm2
(c) 88 cm, 1320 cm2
(d) 48 cm, 1320 cm2

Answer: (d) 48 cm, 1320 cm2

Question 5.
ength of perpendicular drawn on smallest side of scalene triangle is
(a) Smallest
(b) Largest
(c) No relation
(d) None

Question 6.
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

Question 7.
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) ₹17
(b) ₹16.80
(c) ₹7
(d) ₹16

Question 8.
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

Question 9.
The area of an equilateral triangle having side length equal to $$\frac { \sqrt { 3 } }{ 4 }$$ cm is:
(a) $$\frac { 2 }{ 27 }$$ sq.cm
(b) $$\frac { 2 }{ 15 }$$ sq.cm
(c) $$\frac { 3 }{ 16 }$$ sq.cm
(d) $$\frac { 3 }{ 14 }$$ sq.cm

Answer: (c) $$\frac { 3 }{ 16 }$$ sq.cm

Question 10.
he 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

Question 11.
The area of an equilateral triangle of side 6 cm is​
(a) 18 cm2
(b) 9√3 cm2
(c) 56√3 cm2
(d) 58√3 cm2

Question 12.
Length of perpendicular drawn on longest side of a scale △ is
(a) Smallest
(b) Largest
(c) No relation
(d) None

Question 13.
A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m2. The cost of painting is:​
(a) ₹320
(b) ₹350
(c) ₹340
(d) ₹160

Question 14.
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

Question 15.
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

Question 16.
The length of the sides of a triangle are 5 cm, 7 cm and 8 cm. Area of the triangle is :
(a) 10√3 cm2
(b) 100√3 cm2
(c) 300 cm2
(d) 50√3 cm2

Question 17.
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

Question 18.
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