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Herons Formula

Total questions: 10

Worksheet time: 13mins

Name
Class
Date
1.

What in the area of an equilateral triangle with side 2 cm?

a)

6 cm2\sqrt{6\ }cm^2

b)

8cm2\sqrt{8}cm^2

c)

3cm2\sqrt{3}cm^2

d)

4 cm24\ cm^2

2.

3. What is the length of each side of an equilateral triangle having an area of 

 43 cm24\sqrt{3}\ cm^2  

a)

4 cm

b)

5 cm

c)

3 cm

d)

6 cm

3.

If the perimeter of an equilateral triangle is 60 cm, then what is its area?

a)

1002cm2100\sqrt{2}cm^2

b)

2002cm2200\sqrt{2}cm^2

c)

1003cm2100\sqrt{3}cm^2

d)

2003cm2200\sqrt{3}cm^2

4.

Which option is INCORRECT ?


Heron's Formula is used to find the area of triangle when

a)

Three sides are given

b)

Two sides & perimeter is given

c)

Height is given

d)

Two sides & semi perimeter is given

5.

What is the semi-perimeter?

a)

1/2 of the actual perimeter

b)

A circular object rotated 90 degrees on its axis

c)

My dog's name

d)

The distance around a semi truck multiplied by the square root of the perimeter

6.

If the sides of a triangle are 8, 8, and 8, what is the semi-perimeter?

a)

8

b)

12

c)

24

d)

3.14149

7.

1. The area of a triangle is 150 sq. cm. and its sides are in the ratio 3 : 4 : 5. What is its perimeter?

a)

10 cm

b)

40 cm

c)

35 cm

d)

60 cm

8.

An umbrella is made by stitching 10 triangular pieces of cloth of two different colours

(see Fig. 12.16), each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each

colour is required for the umbrella?

a)

2006200\sqrt{6}

b)

4006400\sqrt{6}

c)

100061000\sqrt{6}

d)

5006500\sqrt{6}

9.

If each side of an equilateral triangle is 6 cm, the semi perimeter will be

a)

8 cm

b)

9 cm

c)

10 cm

d)

11 cm

10.

Use Heron's Formula to find the Area.

a)

50 m2

b)

48 m2

c)

60 m2

d)

120 m2