anonymous
  • anonymous
How would I do this? You are planing to use a ceramic tile design in your new bathroom. The tiles are blue and white with equilateral triangles. You decide to arrange the blue tiles in a hexagonal shape as shown. If the side of each tile measure 7 centimeters, what will be the exact area of each hexagonal shape?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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tkhunny
  • tkhunny
Equilateral Triangle. Each side is length 7. Equiangular Triangle. Each Angle is 60ยบ. Median = Angle Bisector = Perpendicular Bisector = Altitude Draw just one Altitude in one triangle and you should see a 30-60-90 Right Triangle. You should see that you have 11 others just like it.
anonymous
  • anonymous
I got 21.

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tkhunny
  • tkhunny
I didn't get anything. I'm waiting to see your work.
anonymous
  • anonymous
Nvm, i see what i did. One sec
tkhunny
  • tkhunny
21 is in the neighborhood of the area of ONE of the equilateral triangles. It is not good enough for ANYTHING about this problem except maybe spray-painting the design when it is done.
anonymous
  • anonymous
I got 254.61.
tkhunny
  • tkhunny
Really, if you showed your work, I could tell you where you wandered off.
anonymous
  • anonymous
Well i got the height of the equilateral triangle by doing 7 times sin60 and got 6.06.
tkhunny
  • tkhunny
You need to give up your calculator. Go hit it with a hammer, or something. The height is \(\dfrac{7}{2}\sqrt{3}\). Go on. What was next?
anonymous
  • anonymous
Haha ok, I do that times 7. and then by 6?
tkhunny
  • tkhunny
Please provide the formula for the area of a triangle.
anonymous
  • anonymous
1/2 times base times height
tkhunny
  • tkhunny
You don't seem to have used the "1/2" in your problem solving.
anonymous
  • anonymous
I accidentally forgot to write it down but I know it
tkhunny
  • tkhunny
Okay, use that and revise your answer.
anonymous
  • anonymous
73.5sqrt3
tkhunny
  • tkhunny
There we have it. I get \(\dfrac{147}{2}\sqrt{3}\) (If you like = 127.3057343563)

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