# 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 cm^{2}

(b) 42 cm^{2}

(c) 18 cm^{2}

(d) 36 cm^{2}

## Answer

Answer: (a) 24 cm^{2}

Question 2.

If the height of a parallelogram having 500 cm^{2} as the area is 20 cm, then its base is of length

(a) 25 cm

(b) 15 cm

(c) 20 cm

(d) 50 cm

## Answer

Answer: (a) 25 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 cm^{2}

(b) 25.25 cm^{2}

(c) 75 cm^{2}

(d) 68.25 cm^{2}

## Answer

Answer: (a) 74.98 cm^{2}

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 cm^{2}

(b) 48 cm, 1820 cm^{2}

(c) 88 cm, 1320 cm^{2}

(d) 48 cm, 1320 cm^{2}

## Answer

Answer: (d) 48 cm, 1320 cm^{2}

Question 5.

ength of perpendicular drawn on smallest side of scalene triangle is

(a) Smallest

(b) Largest

(c) No relation

(d) None

## Answer

Answer: (c) No relation

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 cm^{2}

(b) 3 cm^{2}

(c) 4 cm^{2}

(d) 8 cm^{2}

## Answer

Answer: (a) 6 cm^{2}

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 cm^{2} is

(a) ₹17

(b) ₹16.80

(c) ₹7

(d) ₹16

## Answer

Answer: (b) ₹16.80

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

## Answer

Answer: (b) 6 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

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 cm^{2}

(b) 100 cm^{2}

(c) 50 cm^{2}

(d) 60 cm^{2}

## Answer

Answer: (d) 60 cm^{2}

Question 11.

The area of an equilateral triangle of side 6 cm is

(a) 18 cm^{2}

(b) 9√3 cm^{2}

(c) 56√3 cm^{2}

(d) 58√3 cm^{2}

## Answer

Answer: (b) 9√3 cm^{2}

Question 12.

Length of perpendicular drawn on longest side of a scale △ is

(a) Smallest

(b) Largest

(c) No relation

(d) None

## Answer

Answer: (a) Smallest

Question 13.

A square sheet whose perimeter is 32 cm is painted at the rate of Rs. 5 per m^{2}. The cost of painting is:

(a) ₹320

(b) ₹350

(c) ₹340

(d) ₹160

## Answer

Answer: (a) ₹320

Question 14.

The area of a triangle whose sides are 12 cm, 16 cm and 20 cm is

(a) 96 cm^{2}

(b) 320 cm^{2}

(c) 240 cm^{2}

(d) 72 cm^{2}

## Answer

Answer: (a) 96 cm^{2}

Question 15.

Each side of an equilateral triangle measures 10 cm. Then the area of the triangle is

(a) 43.3 cm^{2}

(b) 43.1 cm^{2}

(c) 43.4 cm^{2}

(d) 43.2 cm^{2}

## Answer

Answer: (a) 43.3 cm^{2}

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 cm^{2}

(b) 100√3 cm^{2}

(c) 300 cm^{2}

(d) 50√3 cm^{2}

## Answer

Answer: (a) 10√3 cm^{2}

Question 17.

The area of a triangle with base 8 cm and height 10 cm is

(a) 20 cm^{2}

(b) 18 cm^{2}

(c) 80 cm^{2}

(d) 40 cm^{2}

## Answer

Answer: (d) 40 cm^{2}

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

## Answer

Answer: (d) 6 cm

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