document.write( "Question 882671: what is the length of the longest pole you could put in a rectangular storage room 12 units long, 9 units wide, and 8 units high? Explain. \n" ); document.write( "

Algebra.Com's Answer #533038 by Fombitz(32388) $\"\"$ $\"About$

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Assuming that one end of the room was completely open.
\n" ); document.write( "Put one end of the pole in the left bottom corner of where you walk in.
\n" ); document.write( "The other end of the pole would be in the right top corner of the opposite wall.
\n" ); document.write( "You can use the Pythagorean theorem.
\n" ); document.write( "First find the diagonal length of the floor.
\n" ); document.write( " $\"D%5E2=12%5E2%2B9%5E2\"$
\n" ); document.write( " $\"D%5E2=144%2B81\"$
\n" ); document.write( " $\"D%5E2=225\"$
\n" ); document.write( "Now use that length and the height of the room to calculate the longest pole.
\n" ); document.write( " $\"L%5E2=D%5E2%2BH%5E2\"$
\n" ); document.write( " $\"L%5E2=225%2B8%5E2\"$
\n" ); document.write( " $\"L%5E2=225%2B64\"$
\n" ); document.write( " $\"L%5E2=289\"$
\n" ); document.write( " $\"L=17\"$ units long
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