document.write( "Question 986779: One leg Of a right triangle Is 5 inches lInter than the other. If the hypotenuse is 25 inches long, Find the lengths of the legs.(only an algerbraic solution will be accepted) \n" ); document.write( "
Algebra.Com's Answer #607568 by Cromlix(4381)\"\" \"About 
You can put this solution on YOUR website!
Hi there,
\n" ); document.write( "One leg is 5 ins. shorter than
\n" ); document.write( "other leg.
\n" ); document.write( "Other leg = 'x'
\n" ); document.write( "One leg = x - 5
\n" ); document.write( "Hypotenuse = 25 ins
\n" ); document.write( "x^2 + (x - 5)^2 = 25^2
\n" ); document.write( "x^2 + x^2 - 10 + 25 = 625
\n" ); document.write( "2x^2 - 10x - 600 = 0
\n" ); document.write( "Divide thro' by 2
\n" ); document.write( "x^2 - 5x - 300 = 0
\n" ); document.write( "Factorise
\n" ); document.write( "(x - 20)(x + 15) = 0
\n" ); document.write( "x + 15 = 0
\n" ); document.write( "x = -15 (no answer as -ve)
\n" ); document.write( "x - 20 = 0
\n" ); document.write( "x = 20
\n" ); document.write( "Other leg = 20 inches
\n" ); document.write( "One leg = 15 inches
\n" ); document.write( "Hypotenuse = 25 inches.
\n" ); document.write( "Hope this helps :-)
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