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A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the nearest tent
Question
A piece of art is in the shape of an equilateral triangle with sides of 7 inches each. Find the area of the piece of art to the nearest tenth. Explain how you know.
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Mathematics
4 years
2021-07-22T02:54:54+00:00
2021-07-22T02:54:54+00:00 1 Answers
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Answer:
21.2 in²
Step-by-step explanation:
The area of an equilateral triangle is given as :
Area, A = √3/4 * a²
Where, a = side length of the equilateral triangle
a = 7 inches ; Recall that all sides of an equilateral triangle are the same.
Put a = 7 in the equation :
A = √3/4 * a²
A = √3/4 * 7²
A = 0.4330127 * 49
A = 21.217 in²
Area, A = 21.2 in²