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Mathematics 8 Online
OpenStudy (anonymous):

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

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

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 ?

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

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 ?

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??

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,

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 ?

OpenStudy (anonymous):

okayyyyyyyyyyyyyyyyyyyyyyyy

jhonyy9 (jhonyy9):

base = 7 h= 7 area = base *h /2 =

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