i have a regular polygon.
i want to draw perpendicular on each sides of the polygon from the center.
i want to know whether the lengths of the perpendiculars drawn from the center will be same or not ?
please comment .
i
2007-08-26 06:58:12 · 4 answers · asked by calculus 1 in Science & Mathematics ➔ Mathematics
Yes. The lines you are drawing are called apothems. Just as all radii of the same circle are equal. so are all apothems of the same regular polygon.
2007-08-26 07:09:03 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
According to this page, the line perpendicular to the side is called the apothem of the polygon, and apothems are all of equal length:
http://www.mathopenref.com/polygonapothem.html
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2007-08-26 14:11:20 · answer #2 · answered by Bill P 5 · 0⤊ 0⤋
If it is a regular polygon, then yes...
Draw some and see!
2007-08-26 14:02:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Yes, they'll be the same.
2007-08-26 14:02:20 · answer #4 · answered by Anonymous · 0⤊ 0⤋