8. You are planning to use a ceramic tile design in your new bathroom. The tiles are blue-and-white equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measures 7 centimeters, what will be the exact area of each hexagonal shape?
(1 point)
21 cm²
73.5 sqrt 3cm²
98 sqrt 3 cm²
1,029 cm²
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OpenStudy (anonymous):
OpenStudy (anonymous):
please dont give me answers just explain..
jhonyy9 (jhonyy9):
ok jsut help step by step
OpenStudy (anonymous):
yeah thanks(:
jhonyy9 (jhonyy9):
so than hexagonal shape
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jhonyy9 (jhonyy9):
what mean for you hexagon ?
what measure will have the angles of these triangles ?
OpenStudy (anonymous):
im confused on what your asking
jhonyy9 (jhonyy9):
there are six triangles how many degree has their angles ?
OpenStudy (anonymous):
i dont know the degrees.. just the 7cm..
jhonyy9 (jhonyy9):
you have wrote in the text of this exersice ,what style of triangles are there ?
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OpenStudy (anonymous):
equilateral
jhonyy9 (jhonyy9):
yes so what mean triangle equilateral how many degree has the angles of an triangle equilateral ?
OpenStudy (anonymous):
60-60-60?
jhonyy9 (jhonyy9):
yes sure
OpenStudy (anonymous):
okay
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jhonyy9 (jhonyy9):
so for you can calculi area needed you just need calculi area of a triangle and multiplie by 6
jhonyy9 (jhonyy9):
separate just one triangle from these six
jhonyy9 (jhonyy9):
how can you calculi area ?
OpenStudy (anonymous):
im not sure....
jhonyy9 (jhonyy9):
what is formula for area of a triangle ?
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jhonyy9 (jhonyy9):
base time height divide by two
OpenStudy (anonymous):
um b*h/2
jhonyy9 (jhonyy9):
so how you calculi the height of this triangle ?
OpenStudy (anonymous):
would it be 7*7/2?
OpenStudy (anonymous):
24 1/2??
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jhonyy9 (jhonyy9):
|dw:1365708122501:dw|
jhonyy9 (jhonyy9):
how you calculi the h ?
jhonyy9 (jhonyy9):
BF = FC
jhonyy9 (jhonyy9):
F is midpoint of BC
OpenStudy (anonymous):
idk...ugh i feel stupid,
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jhonyy9 (jhonyy9):
sin 60 = h/7
h = ?
jhonyy9 (jhonyy9):
sin 60 = sqrt3 / 2
jhonyy9 (jhonyy9):
h= 7sqrt3 /2
so than how many will be area of a triangle ?