document.write( "Question 845886: The side of a right-angled triangle are (x+2)cm, 4x and (4x+1)cm. Determine the value of x \n" ); document.write( "

Algebra.Com's Answer #509490 by Fombitz(32388) $\"\"$ $\"About$

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Use the Pythagorean theorem.
\n" ); document.write( " $\"%28x%2B2%29%5E2%2B%284x%29%5E2=%284x%2B1%29%5E2\"$
\n" ); document.write( " $\"x%5E2%2B4x%2B4%2B16x%5E2=16x%5E2%2B8x%2B1\"$
\n" ); document.write( " $\"x%5E2-4x%2B3=0\"$
\n" ); document.write( " $\"%28x-3%29%28x-1%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "The sides are then 5,12,13.
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( " $\"x=1\"$
\n" ); document.write( "The sides are then 3,4,5. \n" ); document.write( "

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