document.write( "Question 827908: Using pythagorean inequalities what are the classification of the following triangles? 15,36,39. 9,17,14. 15,13,18. \n" ); document.write( "

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$\"15%5E2%2B36%5E2=225%2B1296=1521=398%5E2\"$ so
\n" ); document.write( "a triangle with sides measuring 15, 36, and 39 is a right triangle.
\n" ); document.write( "
\n" ); document.write( " $\"9%5E2%2B14%5E2=81%2B196=277%3C289=17%5E2\"$ so
\n" ); document.write( "a triangle with sides measuring 9, 14, and 17 is an obtuse triangle.
\n" ); document.write( "In a right triangle with legs measuring 9 and 14, the square of the length of the longest side would be 277.
\n" ); document.write( "In this triangle the square of the length of the longest side is greater, so the longest side is longer than it would be for a right triangle, and the angle opposite the longest side is larger than a right angle.
\n" ); document.write( "
\n" ); document.write( " $\"13%5E2%2B15%5E2=169%2B225=394%3E324=18%5E2\"$ so
\n" ); document.write( "a triangle with sides measuring 13, 15, and 18 is an acute triangle.
\n" ); document.write( "In a right triangle with legs measuring 13 and 15, the square of the length of the longest side would be 394.
\n" ); document.write( "The longest side in this triangle is shorter than that, and that means the angle opposite that side is smaller than a right angle. \n" ); document.write( "

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