## anonymous 3 years ago Find the area of an equilateral triangle whose perimeter is the same as that of a square whose area is 81 sq. cm

1. anonymous

can you find the perimeter of the square ?

2. anonymous

$\sqrt{3}a^2/4$

3. anonymous

Use this formula to find the area of equal triangle

4. anonymous

a = Side

5. 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.

6. anonymous

Thank you so much. :D

7. Directrix