SOLUTION: Find the area of an equilateral triangle that has a perimeter of 21 inches. Round the answer to one decimal place. Thank you.
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Question 326795: Find the area of an equilateral triangle that has a perimeter of 21 inches. Round the answer to one decimal place. Thank you. Answer by jessica43(140) (Show Source):
You can put this solution on YOUR website! An equilateral triangle is a triangle with all three sides of equal length. So if we know the perimeter of a triangle is 21 inches, we can divide that by 3 to find the length of each side:
21/3 = 7
So each side of the triangle is 7 inches.
Now we will use the area of an equilateral triangle formula to solve the problem:
A = ((s^2)*(sqrt(3)))/4 where s = the length of a side
A = ((7^2)*(sqrt(3)))/4
A = (49*(sqrt(3)))/4
A = 21.2
So the area of the equilateral triangle is 21.2 square inches.
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