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Mathematics 9 Online
silvernight269:

In the regular hexagon pictured below with side length 10, determine the shortest distance from the center of the hexagon to one of its sides (the altitude drawn). This length is the inradius of the hexagon, which is also called the apothem.

silvernight269:

1 attachment
silvernight269:

@dude

silvernight269:

@Shadow

lowkey:

What do you need to know

silvernight269:

I dun know. I literally wrote word for word what the problem said.

lowkey:

LOL Okay so you know how the circle asks for the radius which is the center to the side? It's asking the same thing but in a hexagon, it's called an apothem.

lowkey:

In a hexagon. I believe all the triangles are equilateral, which means that all of the sides are congruent.

silvernight269:

Yea

silvernight269:

The altitude is 5 root 3 and all the sides are 10

lowkey:

|dw:1552525969950:dw|

silvernight269:

Yep

lowkey:

Since it's a 90 degree angle, that means the side is equally divided into half

lowkey:

|dw:1552526085739:dw|

silvernight269:

Yea and so the altitude is 5 root 3

lowkey:

Oh sorry yes, you're right! Sorry I was like caught up too much in this problem

lowkey:

And this problem is asking for the shortest length the altitude can be, in this case you're right because there is either the 10 or 5 root 3 and 5 root 3 is smaller

silvernight269:

Yea...

lowkey:

So the final answer is 5 root 3

silvernight269:

Thats it?! Then y th did the problem make it so complicated

lowkey:

Yeet! The math problems are so stupid nowadays :/

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