document.write( "Question 1193620: Given: right △RST with
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document.write( "RT = 8radical 2
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document.write( " and m∠
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document.write( "STV = 150°
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document.write( "Find: RS and ST\r
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document.write( "△R S T has vertices R on the left, S on top, and T on the right. ∠S is a right angle. A point labeled V lies to the right of T. The horizontal line segment that connects R and T continues to the right and ends at V.
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document.write( "simplest radical form RS =
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document.write( "approximation RS =
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document.write( "simplest radical form ST =
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document.write( "approximation ST =
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Algebra.Com's Answer #825950 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Given: right △RST with \n" ); document.write( "RT = 8radical 2 \n" ); document.write( " and m∠ \n" ); document.write( "STV = 150° \n" ); document.write( "Find: RS and ST\r \n" ); document.write( "\n" ); document.write( "△R S T has vertices R on the left, S on top, and T on the right. ∠S is a right angle. A point labeled V lies to the right of T. The horizontal line segment that connects R and T continues to the right and ends at V. \n" ); document.write( "simplest radical form RS = \n" ); document.write( " \n" ); document.write( "approximation RS = \n" ); document.write( "simplest radical form ST = \n" ); document.write( " \n" ); document.write( "approximation ST = \n" ); document.write( " Based on the description, right △RST has its right angle at S. Also, ∡STR = 30o since it's supplementary to straight ∡RTV. \r\n" ); document.write( "We therefore have a 30-60-90 special △ with RT as its hypotenuse.\r\n" ); document.write( "As △RST is a 30-60-90 special △ with hypotenuse RT being 8√2, RS, the\n" ); document.write( " |