document.write( "Question 1073094: If the area of traingle is 80 sq unit.the longest side is 20 unit and other side is 10 unit then the third side is what?? \n" ); document.write( "

Algebra.Com's Answer #687923 by ikleyn(52884) $\"\"$ $\"About$

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\n" ); document.write( "If the area of traingle is 80 sq unit.the longest side is 20 unit and other side is 10 unit then the third side is what??
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document.write( "The area of a triangle (of any triangle) is half the product of two sides lengths and the sine of the angle between them:\r\n" );
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document.write( "S = .\r\n" );
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document.write( "Substituting the given data, you obtain  =  =  =  = .\r\n" );
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document.write( "Then  = +/-  = +/- .\r\n" );
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document.write( " can not be negative under the given condition.\r\n" );
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document.write( "Indeed, otherwise the angle  is obtuse and our 20 unit side is not the longest side.\r\n" );
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document.write( "So,  = .\r\n" );
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document.write( "Now apply the Cosine Law theorem. You will get for the length of the third side\r\n" );
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document.write( " =  =  =  =  = 260.\r\n" );
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document.write( "Thus  c =  = 16.125 units (approximately).\r\n" );
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