Class 9 Quiz Level 1 (Easy) – Heron's Formula

Total questions: 30

Find the area of a triangle with sides 5cm, 12 cm, and 13cm.

Topic: Right-Angled Triangle Application

Deselect Answer

$ \displaystyle \text{30 c}{{\text{m}}^{2}}$

$ \displaystyle \text{60 c}{{\text{m}}^{2}}$

$ \displaystyle \text{26 c}{{\text{m}}^{2}}$

$ \displaystyle \text{25 c}{{\text{m}}^{2}}$

None

Which of the following is the correct expression for Heron's formula?

Topic: Understanding the Formula

Deselect Answer

$ \displaystyle \sqrt{{s\left( {s+a} \right)\left( {s+b} \right)\left( {s+c} \right)}}$

$ \displaystyle \sqrt{{s\left( {s-a} \right)\left( {s-b} \right)\left( {s-c} \right)}}$

$ \displaystyle \sqrt{{s\left( {s+a} \right)\left( {s-b} \right)\left( {s+c} \right)}}$

$ \displaystyle \sqrt{{s\left( {s+a} \right)\left( {s-b} \right)\left( {s-c} \right)}}$

None

Which of the following can be the side length of a triangle?

Topic: Triangles Properties

Deselect Answer

2 cm, 2 cm, 5 cm

3 cm, 4 cm, 5 cm

4 cm, 4 cm, 8 cm

5 cm, 5 cm, 10 cm

None

If the sides of a triangle are 9 cm, 12 cm and 15 cm, what is the area?

Topic: Basic Application of Heron's Formula

Deselect Answer

$ \displaystyle \text{54 c}{{\text{m}}^{2}}$

$ \displaystyle \text{56 c}{{\text{m}}^{2}}$

$ \displaystyle \text{60 c}{{\text{m}}^{2}}$

$ \displaystyle \text{58 c}{{\text{m}}^{2}}$

None

For a triangle with sides 7cm, 24 cm, and 25 cm, what is the semi-perimeter?

Topic: Semi-Perimeter

Deselect Answer

27 cm

28 cm

29 cm

26 cm

None

A triangular plot has sides 15 m, 20 m, and 25 m. What is the area of the plot?

Topic: Practical Application

Deselect Answer

$ \displaystyle 100\text{ }{{\text{m}}^{2}}$

$ \displaystyle 150\text{ }{{\text{m}}^{2}}$

$ \displaystyle 180\text{ }{{\text{m}}^{2}}$

$ \displaystyle 150.5\text{ }{{\text{m}}^{2}}$

None

The area of an isosceles triangle with equal sides 10 cm and base 12 cm is:

Topic: Isosceles Triangle

Deselect Answer

$ \displaystyle \text{48 c}{{\text{m}}^{2}}$

$ \displaystyle \text{68 c}{{\text{m}}^{2}}$

$ \displaystyle \text{50 c}{{\text{m}}^{2}}$

$ \displaystyle \text{45 c}{{\text{m}}^{2}}$

None

The area of an equilateral triangle with side 10 cm is:

Topic: Equilateral Triangle Area

Deselect Answer

$ \displaystyle \text{25}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{30}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{50}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{20}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

None

What is the area of a triangle with sides 8 cm, 15 cm, and 17 cm?

Topic: Heron's Formula Application

Deselect Answer

$ \displaystyle 60\text{ }{{\text{m}}^{2}}$

$ \displaystyle 56\text{ }{{\text{m}}^{2}}$

$ \displaystyle 63\text{ }{{\text{m}}^{2}}$

$ \displaystyle 65\text{ }{{\text{m}}^{2}}$

None

10.

For a triangle with sides 14 cm, 48 cm, and 50 cm, the semi-perimeter is:

Topic: Triangle Semi-Perimeter

Deselect Answer

56 cm

55 cm

57 cm

58 cm

None

11.

A triangular garden has sides 30 m, 40 m and 50 m. The area of the garden is:

Topic: Real-life Application

Deselect Answer

$ \displaystyle 600\text{ }{{\text{m}}^{2}}$

$ \displaystyle 400\text{ }{{\text{m}}^{2}}$

$ \displaystyle 300\text{ }{{\text{m}}^{2}}$

$ \displaystyle 500\text{ }{{\text{m}}^{2}}$

None

12.

The area of an equilateral triangle with side 12 cm is:

Topic: Equilateral Triangle

Deselect Answer

$ \displaystyle 36\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 144\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 72\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 108\sqrt{3}\text{ c}{{\text{m}}^{2}}$

None

13.

What is the area of a triangle with sides 7cm, 24cm, and 25cm?

Topic: Heron's Formula Calculation

Deselect Answer

$ \displaystyle 72\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 84\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 64\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 70\text{ c}{{\text{m}}^{2}}$

None

14.

Find the area of a triangle with sides 9 cm, 40 cm, and 41 cm.

Topic: Right-angled Triangle

Deselect Answer

$ \displaystyle \text{162 c}{{\text{m}}^{2}}$

$ \displaystyle \text{180 c}{{\text{m}}^{2}}$

$ \displaystyle \text{176 c}{{\text{m}}^{2}}$

$ \displaystyle \text{165 c}{{\text{m}}^{2}}$

None

15.

Which of the following triangles is a right-angled triangle?

Topic: Triangle Types

Deselect Answer

6cm, 8 cm, 10cm

7cm, 10 cm, 12cm

5cm, 5 cm, 8cm

10cm, 10 cm, 12cm

None

16.

What is the Heron's formula used for?

Topic: Introduction to Heron's Formula

Deselect Answer

Calculating the area of a square

Calculating the area of a triangle

Calculating the area of a circle

Calculating the area of a rectangle

None

17.

Thea area of an equilateral triangle with side 6 cm is:

Topic: Equilateral Triangle Application

Deselect Answer

$ \displaystyle \text{9 c}{{\text{m}}^{2}}$

$ \displaystyle \text{9}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{18}\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{12 c}{{\text{m}}^{2}}$

None

18.

A right-angled triangle has legs 9 cm and 12 cm . What is the area of the triangle?

Topic: Right-angled Triangle

Deselect Answer

$ \displaystyle \text{36 c}{{\text{m}}^{2}}$

$ \displaystyle \text{54 c}{{\text{m}}^{2}}$

$ \displaystyle \text{72 c}{{\text{m}}^{2}}$

$ \displaystyle \text{108 c}{{\text{m}}^{2}}$

None

19.

A triangle park has sides of length 150m , 120m, and 200m. The area of the park is:

Topic: Real-life Application

Deselect Answer

$ \displaystyle 9000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 7000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 8967\text{ }{{\text{m}}^{2}}$

$ \displaystyle 8000\text{ }{{\text{m}}^{2}}$

None

20.

Heron's formula is applicable only when:

Topic: Understanding the Formula

Deselect Answer

The triangle is right-angled

All sides of the triangle are known

The triangle is equilateral

The height of the triangle are known

None

21.

What is the area of a triangle with sides 3 cm, 4 cm, and 5cm?

Topic: Application of Heron's Formula

Deselect Answer

$ \displaystyle \text{6 c}{{\text{m}}^{2}}$

$ \displaystyle \text{5 c}{{\text{m}}^{2}}$

$ \displaystyle \text{7 c}{{\text{m}}^{2}}$

$ \displaystyle \text{8 c}{{\text{m}}^{2}}$

None

22.

Heron's formula is derived from;

Topic: Basic Properties

Deselect Answer

The Pythagorean theorem

Basic geometry

The sine rule

The cosine rule

None

23.

Find the semi-perimeter of a triangle with sides 8cm, 15cm, and 17cm.

Topic: Semi-Perimeter Application

Deselect Answer

20cm

18cm

21cm

19cm

None

24.

The Heron's formula for calculating the area of a triangle is applicable to:

Topic: General Knowledge of Heron's Formula

Deselect Answer

Only scalene triangles

Only Isosceles triangles

Only equilateral triangles

All types of triangles

None

25.

The area of a right - angled triangle with legs 6 cm and 8 cm is:

Topic: Right-angled Triangle

Deselect Answer

$ \displaystyle \text{48 c}{{\text{m}}^{2}}$

$ \displaystyle \text{24 c}{{\text{m}}^{2}}$

$ \displaystyle \text{12 c}{{\text{m}}^{2}}$

$ \displaystyle \text{36 c}{{\text{m}}^{2}}$

None

26.

The semi-perimeter of a rectangle with sides 7 cm, 10cm, and 5 cm is:

Topic: Semi-Perimeter Calculation

Deselect Answer

11 cm

10 cm

12 cm

13 cm

None

27.

A triangle with sides 8 cm, 15 cm, and 17 cm is:

Topic: Triangles Properties

Deselect Answer

Scalene

Isosceles

Equilateral

Right-angled

None

28.

For the triangles with sides 10 cm, 24 cm and 26 cm, what is the semi-perimeter?

Topic: Semi-Perimeter Calculation

Deselect Answer

28 cm

30 cm

25 cm

27 cm

None

29.

A triangular plot has sides 60 m, 80 m, and 100 m, what is its area?

Topic: Practical Geometry

Deselect Answer

$ \displaystyle 2400\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2400.5\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2400.1\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2400.7\text{ }{{\text{m}}^{2}}$

None

30.

An isosceles triangle has two sides of 10 cm each and a base of 12 cm. The semi-perimeter is:

Topic: Isosceles Triangle Application

Deselect Answer

15 cm

16 cm

17 cm

18 cm

None

1 out of 30

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Class 9 Quiz Level 1 (Easy) – Heron's Formula

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