document.write( "Question 953106: How do you find the value of x in a right triangle. The sides are 2x - 1; 3x; and x+7 for the perimeter \n" ); document.write( "
Algebra.Com's Answer #582042 by MathLover1(20850)\"\" \"About 
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use Pythagorean theorem:\r
\n" ); document.write( "\n" ); document.write( "if the sides are \"%282x-1%29\",\"+3x\", and \"%28x%2B7%29\", and \"+3x\" is hypotenuse, then we have\r
\n" ); document.write( "\n" ); document.write( "\"+%283x%29%5E2=%282x-1%29%5E2%2B%28x%2B7%29%5E2\"........solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"+9x%5E2=4x%5E2-4x%2B1%2Bx%5E2%2B14x%2B49\"\r
\n" ); document.write( "\n" ); document.write( "\"+9x%5E2=5x%5E2%2B10x%2B50\"\r
\n" ); document.write( "\n" ); document.write( "\"+9x%5E2-5x%5E2-10x-50=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+4x%5E2-10x-50=0\"...simplify\r
\n" ); document.write( "\n" ); document.write( "\"+2x%5E2-5x-25=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+2x%5E2-10x%2B5x-25=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+%282x%5E2-10x%29%2B%285x-25%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+2x%28x-5%29%2B5%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"+%282x%2B5%29%28x-5%29=0\"\r
\n" ); document.write( "\n" ); document.write( "if \"+%282x%2B5%29=0\"=>\"x=-5%2F2\"........disregard negative solution, side length cannot be negative\r
\n" ); document.write( "\n" ); document.write( "if \"+%28x-5%29=0\"=>\"x=5\"...our solution\r
\n" ); document.write( "\n" ); document.write( "now find sides length:\r
\n" ); document.write( "\n" ); document.write( "\"%282x-1%29=2%2A5-1=9\"\r
\n" ); document.write( "\n" ); document.write( "\"+3x=3%2A5=15\" \r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B7%29=5%2B7=12\"\r
\n" ); document.write( "\n" ); document.write( "so, the perimeter is \"P=9%2B15%2B12=36\"\r
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