document.write( "Question 837707: The area of a right angled-triangle is 180 sq m and its perimeter is 90 m. Find the hypotenuse.
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Algebra.Com's Answer #504740 by Alan3354(69443)\"\" \"About 
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The area of a right angled-triangle is 180 sq m and its perimeter is 90 m. Find the hypotenuse.
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\n" ); document.write( "Area = a*b/2 = 180
\n" ); document.write( "b = 360/a
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\n" ); document.write( "\"c+=+sqrt%28a%5E2+%2B+b%5E2%29+=+90+-+a+-+b\"
\n" ); document.write( "\"sqrt%28a%5E2+%2B+%28360%2Fa%29%5E2%29+=+90+-+a+-+360%2Fa\"
\n" ); document.write( "\"a%2Asqrt%28a%5E2+%2B+%28360%2Fa%29%5E2%29+=+90a+-+a%5E2+-+360\"
\n" ); document.write( "\"sqrt%28a%5E4+%2B+129600%29+=+90a+-+a%5E2+-+360\"
\n" ); document.write( "\"a%5E4+%2B+129600+=+a%5E4+-+180a%5E3+%2B+8820a%5E2+-+64800a+%2B+129600\"
\n" ); document.write( "\"0+=+-+180a%5E3+%2B+8820a%5E2+-+64800a\"
\n" ); document.write( "\"180a%5E2+-+8820a+%2B+64800+=+0\"
\n" ); document.write( "\"a%5E2+-+49a+%2B+360+=+0\"
\n" ); document.write( "a = 9, a = 40
\n" ); document.write( "--> c = 41 meters
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