When you buy a bigger TV, how much more do you really get?

Televisions (indeed, all screens) are measured diagonally. When Best Buy lists a TV as having a 42-inch screen, it means 42 inches on the diagonal. Yet even though this is advertised as the screen's size, the diagonal only tells us part of the story about *how much screen* there is.

In this lesson, students use the Pythagorean Theorem along with some proportional reasoning to investigate the relationship between the diagonal length, aspect ratio, and screen area of a TV.

- Understand the meaning of aspect ratio and use rectangle side ratios to solve problems
- Use the Pythagorean Theorem to find the length of an hypotenuse
- Use aspect ratio and the Pythagorean Theorem together to solve multi-step problems
- Understand that area does not grow in proportion to diagonal length

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