document.write( "Question 409603: Here is my problem:
\n" ); document.write( "A piece of art is in the shape of an equilateral triangle with the sides of 7 in. Find the area of the piece of art. Round your answer to the nearest tenth.
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Algebra.Com's Answer #288276 by nerdybill(7384)\"\" \"About 
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A piece of art is in the shape of an equilateral triangle with the sides of 7 in. Find the area of the piece of art. Round your answer to the nearest tenth.
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\n" ); document.write( "The challenge is to find the height. Draw a diagram--it'll help
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\n" ); document.write( "Let h = height
\n" ); document.write( "then
\n" ); document.write( "h^2 + (7/2)^2 = 7^2
\n" ); document.write( "h^2 + 49/4 = 49
\n" ); document.write( "h^2 = 49 - 49/4
\n" ); document.write( "h^2 = 196/4 - 49/4
\n" ); document.write( "h^2 = 147/4
\n" ); document.write( "h = sqrt(147)/2
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\n" ); document.write( "area then is
\n" ); document.write( "(1/2)base*height
\n" ); document.write( "(1/2)(7)(sqrt(147)/2)
\n" ); document.write( "(7/4)sqrt(147)
\n" ); document.write( "21.2 square inches
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