# Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in.

Find the area of an equilateral triangle (regular 3-gon) with the given measurement. 6-inch apothem A = sq. in.

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6-inch xxxxxxxx apothem a x 6

an equilateral xxxxxxxx xxx x xxxxxxxxxx triangles xxxx with xxx xxxxxxxx side being xxx xxxxxxx a, length x 6 xxxx

xxxxxxxxx xxxxxxxx to a is xx degrees,

sin xx x xxxxxxxxxxxxxxxxxxx x a/hyp x xxxxx

0.5 = xxxxx

xxxxxx x x

hyp = 12 inches

xxxx we xxxx xxxxxx of base xxxx ,

cos 30 x xxxxxxxxxxxxxxx = base/12

sqrt(3)/2 = xxxxxxx

12sqrt(3)/2 x xxxx

xxxxxxxx x xxxx

xxxx xxxx xx xxxxxx xxxxx xxxxxxxx is

xxxxxxxxxxxxxxxxxxxx = 18sqrt(3) sq in

xxxx xxxxxxxxxxx xxxxxxxx has x xxxx xxxxx triangles.

xxxxxx

xxxx xx equilateral xxxxxxxx x xxxxxxxxxxxxx = xxxxxxxxxx sq in.

x xxxxx xxx in. xxxxxxx to xxxxxxx xxxxxx