document.write( "Question 938735: The sides of a triangle are in the ratio 5:12:13, and its perimeter is 150 m. Find the area of the triangle. \n" ); document.write( "

Algebra.Com's Answer #571940 by Fombitz(32388) $\"\"$ $\"About$

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$\"5x%2B12x%2B13x=150\"$
\n" ); document.write( " $\"30x=150\"$
\n" ); document.write( " $\"x=5\"$
\n" ); document.write( " $\"5%285%29=25\"$
\n" ); document.write( " $\"12%285%29=60\"$
\n" ); document.write( " $\"13%285%29=65\"$
\n" ); document.write( "The triangle is a right triangle since,
\n" ); document.write( " $\"5%5E2%2B12%5E2=13%5E2\"$
\n" ); document.write( " $\"25%2B144=169\"$
\n" ); document.write( " $\"169=169\"$
\n" ); document.write( "So the area is,
\n" ); document.write( " $\"A=%281%2F2%29bh\"$
\n" ); document.write( " $\"A=%281%2F2%2925%2860%29\"$
\n" ); document.write( " $\"A=750\"$ $\"m%5E2\"$ \n" ); document.write( "

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