Questions & Answers: "Herons Formula"

Complete guide to "Herons Formula" for Math students. Below you will find important questions and model answers to help you prepare.

10 Questions

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Question 1

1 Mark

The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be

Options

Option A is correct

24 cm²

Option B

40 cm²

Option C

48 cm²

Option D

80 cm²

Question 2

1 Mark

An isosceles right triangle has area 8 cm². The length of its hypotenuse is

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D

Question 3

1 Mark

The perimeter of an equilateral triangle is 60 m. The area is

Options

Option A Diagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D is correctDiagram for Option D

Question 4

1 Mark

The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is

Options

Option A

1322 cm²

Option B

1311 cm²

Option C is correct

1344 cm²

Option D

1392 cm²

Question 5

1 Mark

The area of an equilateral triangle with side 2√3 cm is

Options

Option A is correct

5.196 cm²

Option B

0.866 cm²

Option C

3.496 cm²

Option D

1.732 cm²

Question 6

1 Mark

The length of each side of an equilateral triangle having an area of 9√3 cm² is

Options

Option A

8 cm

Option B

36 cm

Option C

4 cm

Option D is correct

6 cm

Question 7

1 Mark

If the area of an equilateral triangle is 16√3 cm², then the perimeter of the triangle is

Options

Option A

48 cm

Option B is correct

24 cm

Option C

12 cm

Option D

36 cm

Question 8

1 Mark

The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude

Options

Option A

16√5 cm

Option B

10√5 cm

Option C is correct

24√5 cm

Option D

28 cm

Question 9

1 Mark

The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is

Options

Option A is correctDiagram for Option A
Option B Diagram for Option B
Option C Diagram for Option C
Option D Diagram for Option D

Question 10

1 Mark

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 9 paise per cm² is

Options

Option A

Rs 2.00

Option B is correct

Rs 2.16

Option C

Rs 2.48

Option D

Rs 3.00