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. \n" );
document.write( "
Algebra.Com's Answer #428160 by stanbon(75887)![]() ![]() ![]() 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? \n" ); document.write( "----- \n" ); document.write( "Perimeter = a + b + c \n" ); document.write( "36 = a + b + 15 \n" ); document.write( "a + b = 21 \n" ); document.write( "--- \n" ); document.write( "a = 21-b \n" ); document.write( "------------------- \n" ); document.write( "Use Pythagoras: \n" ); document.write( "a^2 + b^2 = c^2 \n" ); document.write( "(21-b)^2 + b^2 = 15^2 \n" ); document.write( "--- \n" ); document.write( "441 - 42b + 2b^2 = 225 \n" ); document.write( "2b^2 - 42b + 216 = 0 \n" ); document.write( "---- \n" ); document.write( "b^2 -21b + 108 = 0 \n" ); document.write( "---- \n" ); document.write( "b = [21 +- sqrt(441-4*108)]/2 \n" ); document.write( "------ \n" ); document.write( "b = [21 +- sqrt(9)]/2 \n" ); document.write( "b = [21+- 3]/2 \n" ); document.write( "b = 12 or b = 9 \n" ); document.write( "--- \n" ); document.write( "Using a = 21-b \n" ); document.write( "If b = 12, a = 9 \n" ); document.write( "If b = 9, a = 12 \n" ); document.write( "====================== \n" ); document.write( "cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " \n" ); document.write( " |