Class 9 Practice Level 2 – Set 1 – Heron's Formula

Total questions: 25

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

Topic: Advanced Application of Heron's Formula

$ \displaystyle 252\text{ c}{{\text{m}}^{2}}$

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

$ \displaystyle 240\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 224\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

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

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

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

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

None

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

Topic: Special Triangles

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

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

$ \displaystyle 78\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 70\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

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

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

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

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

None

A triangular field has sides 60 m, 100 m, and 140 m. Calculate the area using Heron's formula

Topic: Area Calculation for a Triangular Field

$ \displaystyle 2900\text{ }{{\text{m}}^{2}}$

$ \displaystyle 2598\text{ }{{\text{m}}^{2}}$

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

$ \displaystyle 3200\text{ }{{\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

$ \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

Calculate the area of a triangle with sides 16 cm, 30 cm, and 34 cm using Heron's formula.

Topic: Practical Geometry

$ \displaystyle 240\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 260\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 256\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 252\text{ c}{{\text{m}}^{2}}$

None

A triangular park has sides 9 m, 40 m, and 41 m. Find the area using Heron's formula.

Topic: Application of Heron's Formula

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

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

$ \displaystyle 170\text{ }{{\text{m}}^{2}}$

$ \displaystyle 185\text{ }{{\text{m}}^{2}}$

None

Calculate the area of a triangle with sides 15 cm, 20 cm, and 25 cm using Heron's formula.

Topic: Understanding Heron's Formula

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

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

$ \displaystyle \text{110 c}{{\text{m}}^{2}}$

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

None

10.

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

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

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

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

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

None

11.

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

Topic: Mixed Triangles

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

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

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

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

None

12.

A triangle has sides 30 cm, 34 cm, and 50 cm. Calculate the area using Heron's formula.

Topic: Advanced Triangles Area Calculation

$ \displaystyle 498\text{ c}{{\text{m}}^{2}}$

$ \displaystyle \text{377 c}{{\text{m}}^{2}}$

$ \displaystyle \text{460 c}{{\text{m}}^{2}}$

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

None

13.

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

Topic: Equilateral Triangle Application

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

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

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

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

None

14.

For a triangles with sides 40 cm, 50 cm, and 60 cm, what is the area using Heron's formula?

Topic: Advanced Semi-Perimeter Calculation

$ \displaystyle 990\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 1500\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 1200\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 1400\text{ c}{{\text{m}}^{2}}$

None

15.

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

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

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

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

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

None

16.

If a triangles has sides 15 cm, 36 cm, and 39 cm, what is the semi-perimeter of the triangle?

Topic: Semi-Perimeter Concept

47 cm

46 cm

45 cm

44 cm

None

17.

For a triangle with sides 18 cm, 30 cm, and 42 cm, calculate the area using Heron's formula.

Topic: Semi-Perimeter Concept

$ \displaystyle 264\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 304\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 288\text{ c}{{\text{m}}^{2}}$

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

None

18.

A triangle has sides 13 cm, 14 cm, and 15 cm. What is the area using Heron's formula?

Topic: Mixed Applications

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

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

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

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

None

19.

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

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

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

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

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

None

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

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

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

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

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

None

21.

A triangles has sides 14 cm, 48 cm, and 50 cm. Calculate its area using Heron's formula.

Topic: Calculating the Area of Special Triangles

$ \displaystyle 250\text{ c}{{\text{m}}^{2}}$

$ \displaystyle 224\text{ c}{{\text{m}}^{2}}$

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

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

None

22.

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

Topic: Mixed Triangles

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

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

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

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

None

23.

A triangular garden has sides 150 m, 200 m, and 250 m. Calculate the area of the garden using Heron's formula.

Topic: Practical Application

$ \displaystyle 12000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 14000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 15000\text{ }{{\text{m}}^{2}}$

$ \displaystyle 13000\text{ }{{\text{m}}^{2}}$

None

24.

A triangle has sides 25 cm, 60 cm, and 65 cm, Calculate its area using Heron's formula.

Topic: Understanding Triangles Geometry

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

$ \displaystyle \text{750 c}{{\text{m}}^{2}}$

$ \displaystyle \text{800 c}{{\text{m}}^{2}}$

$ \displaystyle \text{780 c}{{\text{m}}^{2}}$

None

25.

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

Topic: Application with Different Types of Triangles

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

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

$ \displaystyle 55\text{ c}{{\text{m}}^{2}}$

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

None

1 out of 25

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Class 9 Practice Level 2 – Set 1 – Heron's Formula

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