document.write( "Question 96021: The base of a ladder is 7 feet away from the wall. The top of the ladder is 7 feet from the floor. Find the length of the ladder to the nearest thousandth. \n" ); document.write( "
Algebra.Com's Answer #69912 by jim_thompson5910(35256)\"\" \"About 
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We basically have this triangle set up:\r
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\n" ); document.write( "\n" ); document.write( "Since we can see that the triangle has legs of 7 and 7 with a hypotenuse of x, we can use Pythagoreans theorem to find the unknown side.\r
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\n" ); document.write( "\n" ); document.write( "Pythagoreans theorem:\r
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\n" ); document.write( "\n" ); document.write( "\"a%5E2%2Bb%5E2=c%5E2\" where a and b are the legs of the triangle and c is the hypotenuse\r
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\n" ); document.write( "\n" ); document.write( "\"7%5E2%2B7%5E2=x%5E2\" Plug in a=7, b=7, and c=x. Now lets solve for x\r
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\n" ); document.write( "\n" ); document.write( "\"4+9+%2B+4+9+=++x++%5E+2\" Square each individual term\r
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\n" ); document.write( "\n" ); document.write( "\"9+8+=++x++%5E+2\" Combine like terms\r
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\n" ); document.write( "\n" ); document.write( "\"s+q+r+t+%28+9+8+%29+=+s+q+r+t+%28++x++%5E+2+%29\" Take the square root of both sides\r
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\n" ); document.write( "\n" ); document.write( "\"7%2Asqrt%282%29=x\" Simplify the square root\r
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\n" ); document.write( "\n" ); document.write( "Which approximates to...\r
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\n" ); document.write( "\n" ); document.write( "\"9.89949493661167=x\"\r
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\n" ); document.write( "\n" ); document.write( "So our answer is\r
\n" ); document.write( "\n" ); document.write( "\"x=9.89949493661167\"\r
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\n" ); document.write( "\n" ); document.write( "which is 9.899 feet to the nearest thousandth
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