Class 9 Quiz Level 2 (Moderate) – Heron's Formula

Total questions: 20

A triangle has sides 28 cm, 45 cm, and 53 cm. Find the area using Heron's formula.

Topic: Heron's Formula and Area Calculation

Deselect Answer

$ \displaystyle 620\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 624\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 630\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 648\text{ c}{{\text{m}}^{2}}$

None

Find the area of a triangle with sides 20 cm, 21 cm, and 29 cm using Heron's formula.

Topic: Mixed Triangles

Deselect Answer

$ \displaystyle 198\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 201\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 210\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 207\text{ c}{{\text{m}}^{2}}$

None

A triangular field has sides 50 m, 120 m, and 130 m. Calculate the area of the field using Heron's formula.

Topic: Real-Life Application of Heron's Formula

Deselect Answer

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

$ \displaystyle 2600\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2800\text{ }{{\text{m}}^{2}}$

$ \displaystyle 3000\text{ }{{\text{m}}^{2}}$

None

For a triangle with sides 7 cm, 24 cm, and 25 cm, find the area using Heron's formula.

Topic: Application of Heron's Formula

Deselect Answer

$ \displaystyle \text{75 c}{{\text{m}}^{2}}$

$ \displaystyle \text{80 c}{{\text{m}}^{2}}$

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

$ \displaystyle \text{88 c}{{\text{m}}^{2}}$

None

A triangles has sides 10 cm, 24 cm, and 26 cm. Calculate its area using Heron's formula.

Topic: Heron's Formula in Different Triangles

Deselect Answer

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

$ \displaystyle 120\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 130\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 124\text{ c}{{\text{m}}^{2}}$

None

If a triangles has sides 12 cm, 16 cm, and 20 cm, what is the area of the triangle using Heron's formula?

Topic: Heron's Formula Application

Deselect Answer

$ \displaystyle 90\text{c}{{\text{m}}^{\text{2}}}$

$ \displaystyle 96\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 105\text{c}{{\text{m}}^{2}}$

$ \displaystyle 120\text{c}{{\text{m}}^{2}}$

None

Find the area of an equilateral triangle with side 14 cm using Heron's formula.

Topic: Equilateral Triangle Application

Deselect Answer

$ \displaystyle 49\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 98\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 84\sqrt{3}\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 42\sqrt{3}\text{ c}{{\text{m}}^{2}}$

None

A triangle has sides 12 cm, 16 cm, and 18 cm. Find the area using Heron's formula

Topic: Complex Triangle Calculation

Deselect Answer

$ \displaystyle 94\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 102\text{ c}{{\text{m}}^{2}}$

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

$ \displaystyle 120\text{ c}{{\text{m}}^{2}}$

None

Calculate the area of a triangle with sides 21 m, 28 m, and 35 m using Heron's formula.

Topic: Practical Understanding

Deselect Answer

$ \displaystyle \text{294 }{{\text{m}}^{2}}$

$ \displaystyle \text{336 }{{\text{m}}^{2}}$

$ \displaystyle \text{324 }{{\text{m}}^{2}}$

$ \displaystyle \text{360 }{{\text{m}}^{2}}$

None

10.

A triangles has sides 5 cm, 12 cm, and 13 cm Calculate its area using Heron's formula.

Topic: Mixed Triangles

Deselect Answer

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

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

$ \displaystyle 39\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 42\text{ c}{{\text{m}}^{2}}$

None

11.

A triangular park has sides 13 m, 14 m, and 15 m. Calculate its area using Heron's formula.

Topic: Advanced Application

Deselect Answer

$ \displaystyle 82\text{ }{{\text{m}}^{2}}$

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

$ \displaystyle 86\text{ }{{\text{m}}^{2}}$

$ \displaystyle 88\text{ }{{\text{m}}^{2}}$

None

12.

A triangle has sides 9 cm, 12 cm, and 15 cm, What is the area using Heron's formula?

Topic: Application of Heron's Formula

Deselect Answer

$ \displaystyle \text{52 c}{{\text{m}}^{2}}$

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

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

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

None

13.

A triangle has sides 12 cm, 16 cm, and 18 cm. What is the area using Heron's formula?

Topic: Practical Application of Heron's Formula

Deselect Answer

$ \displaystyle 94\text{ c}{{\text{m}}^{2}}$

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

$ \displaystyle 104\text{ c}{{\text{m}}^{2}}$

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

None

14.

Find the area of a triangle with sides 14 cm, 48 cm, and 50 cm using Heron's formula.

Topic: Advanced Calculation with Heron's Formula

Deselect Answer

$ \displaystyle 336\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{234 c}{{\text{m}}^{2}}$

$ \displaystyle \text{244 c}{{\text{m}}^{2}}$

$ \displaystyle \text{254 c}{{\text{m}}^{2}}$

None

15.

A triangle has sides 10 m, 24 m, and 26 m. What is the area using Heron's formula?

Topic: Practical Triangle Calculations

Deselect Answer

$ \displaystyle 120\text{ }{{\text{m}}^{2}}$

$ \displaystyle 124\text{ }{{\text{m}}^{2}}$

$ \displaystyle 128\text{ }{{\text{m}}^{2}}$

$ \displaystyle 132\text{ }{{\text{m}}^{2}}$

None

16.

Calculate the area of a triangle with sides 7 cm, 24 cm, and 25 cm using Heron's formula.

Topic: Complex Triangle Calculation

Deselect Answer

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

$ \displaystyle \text{80 c}{{\text{m}}^{2}}$

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

$ \displaystyle \text{90 c}{{\text{m}}^{2}}$

None

17.

A triangle has sides 18 cm, 24 cm, and 30 cm. What is the area using Heron's formula?

Topic: Advanced Application in Geometry

Deselect Answer

$ \displaystyle \text{210 c}{{\text{m}}^{2}}$

$ \displaystyle \text{216 c}{{\text{m}}^{2}}$

$ \displaystyle \text{222 c}{{\text{m}}^{2}}$

$ \displaystyle \text{228 c}{{\text{m}}^{2}}$

None

18.

A triangular field has sides 50 m, 120 m, and 130 m. What is the area using Heron's formula?

Topic: Area of a Triangular Field

Deselect Answer

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

$ \displaystyle 2500\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2600\text{ }{{\text{m}}^{2}}$

$ \displaystyle 3000\text{ }{{\text{m}}^{2}}$

None

19.

A triangle has sides 11 cm, 60 cm, and 61 cm. Calculate its area using Heron's formula.

Topic: Heron's Formula in Different Triangles

Deselect Answer

$ \displaystyle \text{330 c}{{\text{m}}^{2}}$

$ \displaystyle \text{336 c}{{\text{m}}^{2}}$

$ \displaystyle \text{340 c}{{\text{m}}^{2}}$

$ \displaystyle \text{348 c}{{\text{m}}^{2}}$

None

20.

A triangular plot has sides 50 m, 120 m, and 130 m. Calculate the area using Heron's formula.

Topic: Real-life Application

Deselect Answer

$ \displaystyle 3000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2500\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2600\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2700\text{ }{{\text{m}}^{2}}$

None

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Class 9 Quiz Level 2 (Moderate) – Heron's Formula

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