Question

A piece of cheese is shaped like a triangle. It has a height of 2.5 inches and a base that is 4.75 inches long. If 1 inch = 2.54 centimeters, find the area of the cheese in square centimeters. Round the answer to the nearest square centimeter. Please answer this thank you!

Answer 1

`A \approx 38 \, \textrm{cm}^2`

Explanation:

The area of a triangle is defined as:

`A_\triangle = (1)/(2)bh`

where
`b` is the length of its base and
`h` is its height.

So, we can plug the given values into this formula along with the inch to centimeter conversion to get the answer to this problem.

`A=(1)/(2)\left(4.75\, \textrm{in} * \frac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)\left(2.5\, \textrm{in} * \frac{2.54 \, \textrm{cm}}{1 \, \textrm{in}}\right)`

And simplify.

`A \approx 38 \, \textrm{cm}^2`