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You can put this solution on YOUR website!
a^2 + b^2 = c^2
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\n" ); document.write( "One leg of a right triangle is 4 inches longer than the other.
\n" ); document.write( "a = b + 4
\n" ); document.write( ":
\n" ); document.write( " The hypotenuse of the triangle is 8 inches longer than the shorter leg.
\n" ); document.write( "c = b + 8
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\n" ); document.write( " What are the lengths of the 3 sides of the triangle?
\n" ); document.write( "replace a & c in the formula
\n" ); document.write( "(b+4)^2 + b^2 = (b+8)^2
\n" ); document.write( "FOIL
\n" ); document.write( "b^2 + 8b + 16 + b^2 = b^2 + 16b + 64
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "b^2 + b^2 - b^2 + 8b - 16b + 16 - 64 = 0
\n" ); document.write( "b^2 - 8b - 48 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(b-12)(b+4) = 0
\n" ); document.write( "the positive solution is all we want here
\n" ); document.write( "b = 12
\n" ); document.write( "then, obviously
\n" ); document.write( "a = 16
\n" ); document.write( "c = 20
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\n" ); document.write( "Check on your calc: