Monday 21 March 2016

`a = 12.32, b = 8.46, c = 15.05` Use Heron's Area Formula to find the area of the triangle.

When the three sides of the triangle are known,  its area can be solved using the Heron's formula.


`A =sqrt(s(s-a)(s-b)(s-c))`


where a, b and c are the length of the three sides and s  is  half of the triangle's perimeter.


The value of s will be:


`s= (a+b+c)/2= (12.32+8.46+15.05)/2=35.83/2=17.915`


Plugging the values of s, a, b and c to the Heron's formula yields:


`A=sqrt(17.915(17.915-12.32)(17.915-8.46)(17.915-15.05))`


`A=52.11`


Therefore, the area of the triangle is 52.11 square units.

When the three sides of the triangle are known,  its area can be solved using the Heron's formula.


`A =sqrt(s(s-a)(s-b)(s-c))`


where a, b and c are the length of the three sides and s  is  half of the triangle's perimeter.


The value of s will be:


`s= (a+b+c)/2= (12.32+8.46+15.05)/2=35.83/2=17.915`


Plugging the values of s, a, b and c to the Heron's formula yields:


`A=sqrt(17.915(17.915-12.32)(17.915-8.46)(17.915-15.05))`


`A=52.11`


Therefore, the area of the triangle is 52.11 square units.

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