anonymous
  • anonymous
Find the area of an equilateral triangle whose perimeter is the same as that of a square whose area is 81 sq. cm
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
can you find the perimeter of the square ?
anonymous
  • anonymous
\[\sqrt{3}a^2/4\]
anonymous
  • anonymous
Use this formula to find the area of equal triangle

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anonymous
  • anonymous
a = Side
Directrix
  • Directrix
If the area of the square is 81, then a side of the square is 9. The perimeter of the square is 4*9 = 36. The equilateral triangle would have side length of 12. |dw:1347692722838:dw| The area of the equilateral triangle is 1/2 b times height. The height is found by using the 30-60-90 theorem. You can also use the specialty theorem for the area of an equilateral triangle. That is the square of a side times the square root of 3 all divided by 4.
anonymous
  • anonymous
Thank you so much. :D
Directrix
  • Directrix
We're all glad to help.

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