Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Measuring and Constructing Segments
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Exercise 30 Page 394

Construct four legs that have different lengths using a ruler and place them on a flat surface such that you can put a table on them.

Yes, see solution.

Practice makes perfect

In this exercise, we will try to construct a table where no two legs have the same length. Let's prepare four legs that have different lengths using a ruler.

Next, we will try to place these legs on a flat surface (the floor) such that we can put a table on them.

Now, let's try to put a table on the legs such that it is parallel to the flat surface.

As we can see, it is possible to construct a table where no two legs have the same length and the endpoints of the legs lie on the same plane. However, the only way to do this is by having the legs attached to the table bottom at different angles.