document.write( "Question 599656: Find the measure of the side of a square with a diagonal of 6 centimeters. Express the answer to the neartest tenth, and in simple radical form.
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document.write( "Here is what I have done:
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document.write( "a?^2 + b^2 = c^2
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document.write( "a^2 + b ^2 = 6^2
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document.write( "a^2 + b^2=36
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document.write( "For the rounded answer, I got 4.2 after figuring out 36's square root is closer to 4 and using guess and check.
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document.write( "I'm confused on how to get the simple radical form(exact) answer. \n" );
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Algebra.Com's Answer #379034 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Since we're dealing with a square, a = b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2 + b^2 = c^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2 + a^2 = 6^2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2a^2 = 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2 = 36/2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a^2 = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = sqrt(18)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 3*sqrt(2)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = 4.2426\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer to the nearest tenth: 4.2 centimeters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer in simple radical form: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |