document.write( "Question 1006063: The sides of a triangle are in the ratio 5:12:13 and its perimeter is 150 m. Find the area of triangle. \n" ); document.write( "
Algebra.Com's Answer #622198 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "The sides of a triangle are in the ratio 5:12:13 and its perimeter is 150 m. Find the area of triangle.
\n" ); document.write( "
A triangle with sides 5, 12, and 13 represents a special right triangle. That's because \"5%5E2+%2B+12%5E2+=+13%5E2\"
\n" ); document.write( "To determine the length of each side, we let the multiplicative factor for the sides, be x
\n" ); document.write( "Therefore, the sides are: 5x, 12x, and 13x
\n" ); document.write( "With the perimeter being 150, we get: 5x + 12x + 13x = 150
\n" ); document.write( "30x = 150
\n" ); document.write( "x = \"150%2F30\", or 5\r
\n" ); document.write( "\n" ); document.write( "We now have the sides as:
\n" ); document.write( "5(5), or 25 m
\n" ); document.write( "12(5), or 60 m
\n" ); document.write( "13(5), or 65 m\r
\n" ); document.write( "\n" ); document.write( "Obviously, the 2 shorter sides are the legs, with either leg being the altitude
\n" ); document.write( "Area: \"%281%2F2%29bh\" = \"%281%2F2%29%2825%29%2860%29\", or \"highlight_green%28750+m%5E2%29\" \n" ); document.write( "
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