document.write( "Question 1080879: How can you solve a right triangle with two variables?? If a=x+1 b=x c=5 then how do you know? \n" ); document.write( "

Algebra.Com's Answer #694950 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You only have one variable x.
\n" ); document.write( "I'm assuming that c is the hypotenuse.
\n" ); document.write( " $\"a%5E2%2Bb%5E2=c%5E2\"$
\n" ); document.write( " $\"%28x%2B1%29%5E2%2Bx%5E2=25\"$
\n" ); document.write( " $\"x%5E2%2B2x%2B1%2Bx%5E2=25\"$
\n" ); document.write( " $\"2x%5E2%2B2x-24=0\"$
\n" ); document.write( " $\"x%5E2%2Bx-12=0\"$
\n" ); document.write( " $\"%28x%2B4%29%28x-3%29=0\"$
\n" ); document.write( "Two solutions but only one is positive (which is required since we're getting a length).
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"x%2B1=4\"$
\n" ); document.write( "3-4-5 triangle
\n" ); document.write( " \n" ); document.write( "

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