document.write( "Question 200264: The longer leg of a right triangle measures 2 feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all 3 sides.\r
\n" ); document.write( "\n" ); document.write( "3+2n=2+2n+n-I am not sure if this is correct or not. \n" ); document.write( "
Algebra.Com's Answer #150608 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
a^2+b^2=c^2 is the formula for a right triangle given the three sides.
\n" ); document.write( "x^2+(2x+2)^2=(2x+3)^2
\n" ); document.write( "x^2+4x^2+8x+4=4x^2+12x+9
\n" ); document.write( "x^2+8x-12x+4-9=0
\n" ); document.write( "x^2-4x-5=0
\n" ); document.write( "(x-5)(x+1)=0
\n" ); document.write( "x-5=0
\n" ); document.write( "x=5 ft. ans. for the shorter leg.
\n" ); document.write( "2*5+2=10+2=12 ft. ans. for the longer leg.
\n" ); document.write( "2*5+3=10+3=13 ft. ans. for the hypotenuse.
\n" ); document.write( "Proof:
\n" ); document.write( "5^2+12^2=13^2
\n" ); document.write( "25+144=169
\n" ); document.write( "169=169\r
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