document.write( "Question 970106: the longer leg of a right triangle is 2 cm less than twice the shorter leg. the hypotenuse is 14 cm less than three times the shorter leg \n" ); document.write( "

Algebra.Com's Answer #592785 by stanbon(75887) $\"\"$ $\"About$

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the longer leg of a right triangle is 2 cm less than twice the shorter leg. the hypotenuse is 14 cm less than three times the shorter leg
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\n" ); document.write( "shorter leg: x
\n" ); document.write( "longer leg: 2x-2
\n" ); document.write( "hypot: 3x-14
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\n" ); document.write( "Use Pythagoras to solve for \"x\":
\n" ); document.write( "x^2 + (2x-2)^2 = 14^2
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\n" ); document.write( "x^2 + 4x^2 -8x +4 = 196
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\n" ); document.write( "5x^2 - 8x - 192 = 0
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\n" ); document.write( "x = [8 +- sqrt(8^2 - 4*5*-192)]/10
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\n" ); document.write( "x = [8 +- sqrt(3904)]/10
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\n" ); document.write( "x = [8 +- 62.48]/10
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\n" ); document.write( "x = 7.048 or x = -5.448
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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