document.write( "Question 134505: one leg of a right riangle is 1/3m shorter than the other leg. if the hypotenuse of the triangle is 5/3m, find the lengths of both legs. \n" ); document.write( "
Algebra.Com's Answer #98383 by edjones(8007)\"\" \"About 
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Let a=b+1/3, c=5/3
\n" ); document.write( "a^2+b^2=c^2
\n" ); document.write( "(b+ 1/3)^2+b^2=(5/3)^2
\n" ); document.write( "b^2+ 2b/3 + 1/9 + b^2 = 25/9
\n" ); document.write( "2b^2+ 2b/3 - 24/9 =0
\n" ); document.write( "18b^2+6b-24=0 Multiply each side by 9 to eliminate fractions.
\n" ); document.write( "6(3b^2+b-4)=0
\n" ); document.write( "3*-4=12
\n" ); document.write( "what factors of -12=+1 when added? +4, -3 Ans.
\n" ); document.write( "3b^2-3b+4b-4=0
\n" ); document.write( "3b(b-1)+4(b-1)=0 Factoring by grouping.
\n" ); document.write( "(3b+4)(b-1)=0
\n" ); document.write( "b=1 m. The only answer for this question.
\n" ); document.write( "a=4/3 m.
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\n" ); document.write( "Check:
\n" ); document.write( "16/9 + 9/9 =25/9 true
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