document.write( "Question 86385: In an isoceles triangle each of the equal sides is 10 meters and the base is 16 meters. Find the vertex angle accurate to the nearest minute. \n" ); document.write( "

Algebra.Com's Answer #62503 by Edwin McCravy(20056) $\"\"$ $\"About$

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document.write( "In an isoceles triangle each of the equal sides is 10 meters and the base is 16\r\n" );
document.write( "meters. Find the vertex angle accurate to the nearest minute. \r\n" );
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document.write( "Draw an altitude to the base. This altitude is also a median, as well\r\n" );
document.write( "as an angle bisector.  So it splits the base into two 8-inch parts, as\r\n" );
document.write( "weel as bisects the vertex angle:\r\n" );
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document.write( "Just look at the laft half of the triangle.  It is a right triangle:\r\n" );
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document.write( "sin(A) =  =  = \r\n" );
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document.write( "A = 53°8'\r\n" );
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document.write( "Therefore the entire vertex angle is twice that value:\r\n" );
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document.write( "Vertex angle = 106°16'\r\n" );
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document.write( "Edwin

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