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?
Here are the formulas needed for the assignment. Let a and b be the lengths of the two sides of your object. Measure the diagonal and call it c. Here are the formulas:
The Pythogorean Theorem says that a2+b2=c2 . Compute a2+b2 and compute c2 . Since your measurements are approximations, a2+b2 should be close to c2 but not exactly equal. That is expected.