Recently, my husband was finishing the assembly of another one of such exemplars – a tall bookcase - on the floor of his home-office. He realized that he could not rotate it to standing position because the ceiling was too low. For a couple of minutes we were very quiet, feeling a bit stupid.

We did select this particular bookcase because its height was just inches shorter than the height of our ceiling, proud to use our space so efficiently. But we did not foresee that the bookcase's front diagonal would be larger than the room height (85” > 82”), preventing the installation... Humiliated and frustrated, we were waiting for that spark of creativity that occasionally saves you from doing things all over again. And then I saw this triumphant smile on my husband's face. A minute later the bookcase was standing up tall...

The side diagonal obtained from the height-depth triangle was shorter than the frontal diagonal obtained from the height-width triangle and smaller than the room height (76” < 82 ").
Next on out shopping list is a grand piano. I think I will start with Craigslist. What can possibly go wrong?

Read more from The Math Mom about fun and hip math of our routine existence: The Eureka Moments Of My Household.

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