document.write( "Question 122350: Christine has a solar panel with a width of 21 in. To get the proper inclination for her climate, she needs a right triangle support frame that has one leg twice as long as the other. To the nearest tenth of an inch, what dimensions should the frame have?
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Algebra.Com's Answer #89841 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Let's say the short leg measures x inches.  Then the long leg must measure\r\n" );
document.write( "2x inches, and the hypotenuse of the triangle is 21 inches, or the width of\r\n" );
document.write( "the solar panel.\r\n" );
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document.write( "Using Pythagoras: \"a%5E2%2Bb%5E2=c%5E2\" and recognizing that a = x, b = 2x, and c = 21 we can write:\r\n" );
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document.write( "\"x%5E2%2B%282x%29%5E2=441\"\r\n" );
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document.write( "\"x%5E2%2B4x%5E2=441\"\r\n" );
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document.write( "\"5x%5E2=441\"\r\n" );
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document.write( "\"x%5E2=441%2F5\"\r\n" );
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document.write( "\"x=sqrt%28441%2F5%29=sqrt%28441%29%2Fsqrt%285%29=21%2Fsqrt%285%29\"\r\n" );
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document.write( "Lastly, rationalize the denominator:\r\n" );
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document.write( "\"x=%2821%2Fsqrt%285%29%29%2A%28sqrt%285%29%2Fsqrt%285%29%29=%2821%2Asqrt%285%29%29%2F5\"\r\n" );
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document.write( "Which gives us an expression for the short side.\r\n" );
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document.write( "The long side is twice that, so\r\n" );
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document.write( "Long side = \"2x=%2842%2Asqrt%285%29%29%2F5\"\r\n" );
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document.write( "I'll leave the calculator work to you.\r\n" );
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