document.write( "Question 739430: how many different triangles,if any, can be drawn with one 90 degree angle and side lengths of 5 cm. and 12 cm? \n" ); document.write( "

Algebra.Com's Answer #451109 by josmiceli(19441) $\"\"$ $\"About$

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2 triangles
\n" ); document.write( "(1)
\n" ); document.write( "the legs can be 5 cm and 12 cm
\n" ); document.write( " $\"+h%5E2+=+5%5E2+%2B+12%5E2+\"$
\n" ); document.write( " $\"+h%5E2+=+25+%2B+144+\"$
\n" ); document.write( " $\"+h%5E2+=+169+\"$
\n" ); document.write( " $\"+h+=+13+\"$
\n" ); document.write( "The hypotenuse is 13 cm
\n" ); document.write( "(2)
\n" ); document.write( "The hypotenuse can be 12 cm and
\n" ); document.write( "one of the legs can be 5 cm
\n" ); document.write( " $\"+12%5E2+=+5%5E2+%2B+b%5E2+\"$
\n" ); document.write( " $\"+b%5E2+=+144+-+25+\"$
\n" ); document.write( " $\"+b%5E2+=+119+\"$
\n" ); document.write( " $\"+b+=+10.99087+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "The other choice with hypotenuse = 5 cm
\n" ); document.write( "and a leg = 12 cm is impossible. There is no
\n" ); document.write( "way to make a right angle with the other leg\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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