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): Answer by jim_thompson5910(35256) (Show Source):
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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.
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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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Answer by tommyt3rd(5050) (Show Source):
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