document.write( "Question 694548: A right triangle has a perimeter of 36 units if the hypotenuse is 15 units, how long are the other 2 sides?\r
\n" ); document.write( "\n" ); document.write( "can you please explain me this? I dont understand.Thanks in advance.
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Algebra.Com's Answer #428160 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A right triangle has a perimeter of 36 units if the hypotenuse is 15 units, how long are the other 2 sides?
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\n" ); document.write( "Perimeter = a + b + c
\n" ); document.write( "36 = a + b + 15
\n" ); document.write( "a + b = 21
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\n" ); document.write( "a = 21-b
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\n" ); document.write( "Use Pythagoras:
\n" ); document.write( "a^2 + b^2 = c^2
\n" ); document.write( "(21-b)^2 + b^2 = 15^2
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\n" ); document.write( "441 - 42b + 2b^2 = 225
\n" ); document.write( "2b^2 - 42b + 216 = 0
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\n" ); document.write( "b^2 -21b + 108 = 0
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\n" ); document.write( "b = [21 +- sqrt(441-4*108)]/2
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\n" ); document.write( "b = [21 +- sqrt(9)]/2
\n" ); document.write( "b = [21+- 3]/2
\n" ); document.write( "b = 12 or b = 9
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\n" ); document.write( "Using a = 21-b
\n" ); document.write( "If b = 12, a = 9
\n" ); document.write( "If b = 9, a = 12
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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