document.write( "Question 1193806: Given: △XYZ with XY ≅ XZ ≅ YZ ZW ⊥ XY with W on XY YZ = 8
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\n" ); document.write( "Find The simplest radical form of simplest radical form ZW \n" ); document.write( "

Algebra.Com's Answer #825849 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "Triangle XYZ has congruent sides (of equal length 8 units, given).\r\n" );
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document.write( "So, this triangle is equilateral and equiangular: each its interior angle is  190/3 = 60 degrees.\r\n" );
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document.write( "ZW is the altitude from the vertex Z to side XY.\r\n" );
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document.write( "In the same time, ZW is the bisector of the angle Z and the median in triangle XYZ.\r\n" );
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document.write( "m∠WYZ = 60°\r\n" );
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document.write( "m∠YWZ = 90°\r\n" );
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document.write( "m∠YZW = 30°\r\n" );
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document.write( "ZW =  =  = 6.828  (rounded).\r\n" );
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document.write( "WY = half of XY = 8/2 = 4 units.\r\n" );
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