document.write( "Question 985029: The length of the hypotenuse of a right triangle is 25 dm. Find the lengths of its legs if their sum is 30 cm. Express your answer to the nearest tenth. (Recall the Pythagorean theorem. ) \n" ); document.write( "
Algebra.Com's Answer #605875 by josgarithmetic(39621)\"\" \"About 
You can put this solution on YOUR website!
Interpreting legs as separate from the hypotenuse,\r
\n" ); document.write( "\n" ); document.write( "x and y the legs
\n" ); document.write( "\"x%2By=30\"\r
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\n" ); document.write( "\n" ); document.write( "\"y=30-x\"
\n" ); document.write( "-
\n" ); document.write( "\"x%5E2%2B%2830-x%29%5E2=25%5E2\"
\n" ); document.write( "\"x%5E2%2B900-60x%2Bx%5E2-625=0\"
\n" ); document.write( "\"2x%5E2-60x%2B275=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"Discriminant=3600-4%2A2%2A275=3600-8%2A275=1400\"
\n" ); document.write( "\"1400=10%2A10%2A14\"
\n" ); document.write( "-
\n" ); document.write( "\"sqrt%2810%2A10%2A14%29=10sqrt%2814%29\"
\n" ); document.write( "-\r
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\n" ); document.write( "\n" ); document.write( "\"x=%2860%2B-+10sqrt%2814%29%29%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"highlight%28x=%2830%2B-+5sqrt%2814%29%29%2F2%29\"-----either of these is x and the other is y.
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