# Pythogorean Theorem

*label*Business

*timer*Asked: Feb 15th, 2016

**Question description**

Find a postage stamp, Cheez-It, face of a die, computer key, or some other flat rectangular object of interest to you that measures less than one inch in each direction.

- Take a picture or draw a diagram of your object to include in your posting.
- Measure each side to the nearest eighth of an inch.
- Compute the perimeter and area of your object by hand and then check your answer using your calculator.
- Measure the diagonal length of your object to the nearest eighth of an inch.
- Check your diagonal measurement using the Pythagorean Theorem, illustrated on page 245 of your text. Use your calculator to find the answer.
- How does this answer compare with what you measured? What did you have to do to compare your answers?

Perimeter: P=2a+2b

Area: A=ab

The Pythogorean Theorem says that a^{2}+b^{2}=c^{2} . Compute a^{2}+b^{2} and compute c^{2} . Since your measurements are approximations, a^{2}+b^{2} should be close to c^{2} but not exactly equal. That is expected.