document.write( "Question 122572This question is from textbook Geometry
\n" ); document.write( ": Okay i have no idea how to do this:\r
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\n" ); document.write( " RA = 43x
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\n" ); document.write( "Find: The length of ET to the nearest tenth\r
\n" ); document.write( "\n" ); document.write( " they have a picture of the rectangle but i dont know how to put it on here. \n" ); document.write( "

Algebra.Com's Answer #89989 by solver91311(24713) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Discussion
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document.write( "I'm going to presume that you mean  and 
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document.write( "and that the figure looks something like:\r
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document.write( "Don't worry about the orientation of the figure (tall-thin vs. short-fat)
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document.write( "because that will all sort itself out when we solve the problem.  \r
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document.write( "Conceptually, this is a relatively straight-forward Pythagorean Theorem problem.
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document.write( "The only difficulty will be the arithmetic because these numbers are truly
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document.write( "ugly. Either your instructor or the author of your book has a mean streak.\r
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document.write( "Also, you won't be able to determine a fixed value for ET because both of the
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document.write( "rectangle's sides are given in terms of x.  The best you will be able to do
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document.write( "is present an expression for ET in terms of x. \r
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document.write( "Solution
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document.write( "The segment ET makes the hypotenuse of a right triangle and either the segments
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document.write( "RE and RT or CT and EC are the legs.  But since this is a rectangle, RE = CT
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document.write( "and RT = EC.  So to apply Pythagoras' Theorem, we can say that a = RE and
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document.write( "b = EC.  And finally, we can say that ET = c\r
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document.write( "Square the 'a' term, apply FOIL to the b expression, and gather terms:
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document.write( "If you have more information so that x can be determined, you can calculate
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document.write( "the value of that ugliness.
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