SOLUTION: Find the area of a triangle whose sides are 9cm,10cm and 11cm

Question 877962: Find the area of a triangle whose sides are 9cm,10cm and 11cm
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.

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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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