SOLUTION: find the area triangle of sides 5cm,6cm,7cm

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Question 765457: find the area triangle of sides 5cm,6cm,7cm
Found 3 solutions by Alan3354, jim_thompson5910, tommyt3rd:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the area triangle of sides 5cm,6cm,7cm
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Use Heron's Law
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.
Answer by tommyt3rd(5050)   (Show Source): You can put this solution on YOUR website!
Heron's formula:


where the semiperimeter is


a=5, b=6, c=7, s=18/2=9

by substitution and simplification we get



:)
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