document.write( "Question 622706: the sides of a triangle have lengths of x, x+5, and 25. if the longest side is 25, which of the following values of x would make the right triangle? \n" ); document.write( "

Algebra.Com's Answer #391586 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "the sides of a triangle have lengths of x, x+5, and 25. 
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document.write( "if the longest side is 25, which of the following values of x would make the right triangle?
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document.write( "Applying the Pythagorean Theorem:
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document.write( " x^2 + (x+5)^2 = 25^2
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document.write( " x^2 + x^2 + 10x + 25 = 625
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document.write( "    2x^2 + 10x - 600 = 0
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document.write( "     x^2 + 5x - 300 = 0
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document.write( " factoring
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document.write( "   (x+ 20)(x-15) = 0
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document.write( "  x = 15  (throwing out negative soution for length)
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