document.write( "Question 843173: The hypotenuse of a right triangle is 30 feet. One leg is 12 less than twice the other leg. Find the dimension of the triangle.\r
\n" ); document.write( "\n" ); document.write( "So I have 30ft as the hypotenuse, then 2x-12 for the one leg, and x for the third. Where do I go from here? It has been a year since I took geometry. \n" ); document.write( "

Algebra.Com's Answer #507967 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

 
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document.write( "Hi,
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document.write( "The hypotenuse of a right triangle is 30 feet. 
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document.write( "One leg is 12 less than twice the other leg 
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document.write( "Good Work on the Set Up of x and (2x-12) for the legs
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document.write( "Applying the Pythagorean Theorem:
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document.write( " x^2 + (2x-12)^2 = 30^2
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document.write( " x^2 + (2x-12)(2x-12) = 30^2
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document.write( " x^2 + 4x^2 + 48x + 144 = 900
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document.write( "   5x^2 - 48x - 756 = 0     |Form:  ax^2 + bx + c = 0
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document.write( "    |Tossing out negative solution for unit measure
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document.write( "     x = 18ft, one leg.  The other is 24ft    
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document.write( "CHECKING our answer***
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document.write( " 18^2 + 24^2 = 324 + 576 = 900 
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document.write( "Wish You the Best in your Studies.
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