document.write( "Question 409603: Here is my problem:
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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. \n" );
document.write( "
Algebra.Com's Answer #288276 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! 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. \n" ); document.write( ". \n" ); document.write( "The challenge is to find the height. Draw a diagram--it'll help \n" ); document.write( ". \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 \n" ); document.write( ". \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 \n" ); document.write( " \n" ); document.write( " |