Hi,



Using Heron's Equation to find the area of a triangle when 3 sides are given

a = 6, b = 8 and c  = 12 inches 

  | s being the semi-perimeter = 26/2 = 13

 = 21.3307 square inches 

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
 


 
Solved by pluggable solver: Hero's (or Heron's) Formula (Used to Find the Area of a Triangle Given its Three Sides)


In order to find the area of a triangle 'A' with side lengths of 'a', 'b', and 'c', we can use Hero's Formula:



 where S is the semiperimeter and it is defined by 

Note: "semi" means half. So the semiperimeter is half the perimeter.



So let's first calculate the semiperimeter S:



 Start with the semiperimeter formula.



 Plug in , , and .



 Add.



 Divide.



----------------------------------------



 Now move onto Hero's Formula.



 Plug in , , , and .



 Subtract.



 Multiply.



 Take the square root of  to get .



So the area of the triangle with side lengths of , , and  is roughly  square units.



 

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