document.write( "Question 662313: the length of a side of a triangle are x cm,(x+1)cm and (x+2)cm.Determine x so that this triangle is a right angled triangle \n" ); document.write( "
Algebra.Com's Answer #412091 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "\"x+cm\",\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29cm\" and \r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29cm\".........this is hypotenuse\r
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\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29cm%29%5E2=+x%5E2%2B%28%28x%2B1%29cm%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29cm%29%5E2=+x%5E2%2B%28x%5E2%2B2x%2B1%29cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28%28x%2B2%29cm%29%5E2=+%282x%5E2%2B2x%2B1%29cm%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2%2B4x%2B4%29cross%28cm%5E2%29=+%282x%5E2%2B2x%2B1%29cross%28cm%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B4x%2B4=+2x%5E2%2B2x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+2x%5E2-x%5E2-4x-4%2B2x%2B1\"\r
\n" ); document.write( "\n" ); document.write( "\"0=+x%5E2-2x-3\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x-3=0\"...replace \"-2x\" with \"-3x%2Bx\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-3x%2Bx-3=0\"...group\r
\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-3x%29%2B%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"x%28x-3%29%2B%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%28x-3%29=0\"\r
\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "if \"x%2B1=0\"...=>...\"x=-1\"...we can't take negative value for a sside of a triangle\r
\n" ); document.write( "\n" ); document.write( "if \"x-3=0\"...=>...\"x=3\"...this is our solution:\r
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\n" ); document.write( "\n" ); document.write( "so, the sides are\r
\n" ); document.write( "\n" ); document.write( "\"x=3+cm\",\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29=4cm\" and \r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29=5cm\"\r
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