SOLUTION: An artist needs to know the area of a triangular piece of stained glass with sides measuring 9 cm, 7 cm, and 5 cm. What is the area to the nearest square centimeter?

Question 877138: An artist needs to know the area of a triangular piece of stained glass with sides measuring 9 cm, 7 cm, and 5 cm. What is the area to the nearest square centimeter?
Found 2 solutions by jim_thompson5910, harpazo:
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 harpazo(655) (Show Source): You can put this solution on YOUR website!
You need Heron's Formula.
Visit this link:
http://www.mathopenref.com/heronsformula.html
RELATED QUESTIONS
The area of a triangular piece of Stainglass is 50 cm�. If the height of the triangle is (answered by addingup)
a triangular piece of stained glass has an area of 6 square inches and a height of 3... (answered by Fombitz)
If a triangle has sides measuring 7 cm, 12 cm and 9 cm then what is the area of the... (answered by Alan3354)
An artist wants to place a piece of round stained glass into a square that is made of... (answered by Boreal,solver91311)
A triangular piece of wood has side lengths 14 cm, 19 cm and 30 cm. The angle between the (answered by ikleyn)
A triangular piece of wood has side lengths 14 cm, 19 cm and 20 cm. The angle between the (answered by ikleyn)
what is the approximate surface area of an open piece of pipe with a radius of 4 cm and a (answered by richard1234)
What is the length of the third side of a triangle with two sides measuring 34 cm and 12... (answered by Alan3354)
what is the volume of a triangular prism with a base area of 120 cm and height of 25... (answered by checkley77)