document.write( "Question 706683: how can i find the lengths of the two bases if the area of the isosceles trapezoid is 246m^2 and the height and length of one of its congruent sides measure 6m and 10m.thank you very much! \n" ); document.write( "
Algebra.Com's Answer #435331 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
A picture was drawn, ready in a posting, but because of misreading some given problem information, I removed my posting which had been in progress.\r
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\n" ); document.write( "\n" ); document.write( "Most of the solution in symbols is ready now, but no picture revision.\r
\n" ); document.write( "\n" ); document.write( "Isosceles trapezoid with larger base on bottom, smaller base at top. Height 6, the non-base sides each 10. A triangle can be found from upper corner projected downward onto lower base. There is a length at the bottom of the triangle, x. This length x is on BOTH sides of the trapezoid. Know: base1-2x equals base2.\r
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\n" ); document.write( "\n" ); document.write( "Let's take care of the area: \"%28%28b1%2Bb2%29%2F2%29%2A6=246\"
\n" ); document.write( "\"b1%2Bb2=82\"\r
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\n" ); document.write( "\n" ); document.write( "Dealing with the triangle for x:
\n" ); document.write( "\"x%5E2%2B6%5E2=10%5E2\"
\n" ); document.write( "\"x=sqrt%2864%29\"
\n" ); document.write( "\"x=8\"
\n" ); document.write( "This means that b2=b1-2x
\n" ); document.write( "OR
\n" ); document.write( "\"b1-b2=16\"\r
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\n" ); document.write( "\n" ); document.write( "Nice System Ready to Finish Solution:
\n" ); document.write( "\"b1%2Bb2=82\"
\n" ); document.write( "\"b1-b2=16\"\r
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\n" ); document.write( "\n" ); document.write( "(Please not that subscripts are intended for bases b1, b2, in the above.)
\n" ); document.write( "final answer: \"b%5B1%5D=59\", \"b%5B2%5D=43\"
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