The perimeter of the triangle is 44cm. if it’s sides are in the ratio 9:7:6.find its area

The area is 83.905 cm^3

Step-by-step explanation:

The total ratio is 9 + 7 + 6 = 22

So the length of the sides are as follows;

9/22 * 44 = 18 cm

7/22 * 44 = 14 cm

6/22 * 44 = 12cm

we can use Heron’s formula to find the area of the triangle

we find a first

s = (a + b + c)/2 = (18+14+12)/2 = 44/2 = 22

Mathematically, the Heron’s formula is as follows;

A = √s(s-a)(s-b)(s-c)

where a, b and c are 18,14 and 12 respectively

Plugging the values, we have;

A = √22(22-18)(22-14)(22-12)

A = √(22 * 4 * 8 * 10)

A = √(7,040)

A = 83.905 cm^3

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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