# Daily Desmos 221a (Advanced)

## Creator

Mike Bosma (@mbosma8)

## Difficulty

Advanced

## On to the Challenge!

Can you create the following regular hexagon centered at the origin (0,0) with sides of 10 units long using desmos.com or some other graphing tool? If you’re victorious, leave us a note in the comments when you’re done. ย If you want to increase the level of difficulty, use a slider to allow you to make a regular hexagon of any side length or try constructing another regular polygon!

Here’s a solution with sliders! https://www.desmos.com/calculator/ctjpnfwy6y

Whoops, fixed a mistake. Try this one: https://www.desmos.com/calculator/um8alzn3wj

Nicely done! How did you go about finding the vertices (trig, Pythagorean Theorem, or some other method)?

I pretty much used properties of 30-60-90 triangles. You could probably argue that I used either the Pythagorean Theorem, or trig, or both! (Though originally, I had plotted the vertices using trig expressions before I simplified them.)

https://www.desmos.com/calculator/ey2cb1ncvb

Good work! Can you insert a slider so it can become a regular hexagon of any size?

is there a way to do this on 1 line ?

https://www.desmos.com/calculator/wqicqvfddi

https://www.desmos.com/calculator/baacbjc81v

That’s fun.

https://www.desmos.com/calculator/h8nf4clnxi

https://www.desmos.com/calculator/tpyxv4bri4