document.write( "Question 966925: I have a base length of 23.73m. A long side of 16.38m and a short side of 16.33m. May you help me find the perpendicular height of this scalene triangle. I have no angles provided. Thankyou. \n" ); document.write( "
Algebra.Com's Answer #590926 by josgarithmetic(39623)\"\" \"About 
You can put this solution on YOUR website!
You should make a drawing to more clearly understand.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Angle between long side and base side:
\n" ); document.write( "\"23.73%5E2%2B16.38%5E2-2%2A%2823.73%29%2816.38%29cos%28s%29=16.33%5E2\"----this is Law of Cosines.
\n" ); document.write( "\"-2%2823.73%29%2816.38%29cos%28s%29=16.33%5E2-23.73%5E2-16.38%5E2\"
\n" ); document.write( "\"cos%28s%29=%2816.33%5E2-23.73%5E2-16.38%5E2%29%2F%28-2%2823.73%29%2816.38%29%29\"
\n" ); document.write( "\"cos%28s%29=%2823.73%5E2%2B16.38%5E2-16.33%5E2%29%2F%282%2823.73%29%2816.38%29%29\"
\n" ); document.write( "\"cos%28s%29=564.7484%2F777.3948\"
\n" ); document.write( "\"cos%28s%29=0.7264628\"
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\n" ); document.write( "Find the SINE of s:
\n" ); document.write( "\"sin%5E2%28s%29%2Bcos%5E2%28s%29=1\"
\n" ); document.write( "\"sin%5E2%28s%29=1-cos%5E2%28s%29\"
\n" ); document.write( "\"sin%28s%29=sqrt%281-cos%5E2%28s%29%29\"
\n" ); document.write( "\"sin%28s%29=sqrt%281-%280.7264628%29%5E2%29\"
\n" ); document.write( "\"highlight_green%28sin%28s%29=0.6872%29\"\r
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\n" ); document.write( "\n" ); document.write( "Height from top of triangle to the base length 23.73 is this:
\n" ); document.write( "\"16.38%2Asin%28s%29\"
\n" ); document.write( "\"highlight_green%2816.38%2A%280.6872%29%29\"
\n" ); document.write( "\"highlight%2811.26%29\"
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