document.write( "Question 914395: What could represent the side lengths of an obtuse triangle? \n" ); document.write( "
Algebra.Com's Answer #555147 by KMST(5328)![]() ![]() You can put this solution on YOUR website! The side lengths of an obtuse triangle could be 3, 4 and 6. \n" ); document.write( "With the lengths of the shorter sides being 3 and 4, the length of the longest side in an obtuse triangle must be greater than 5 and less than 7. \n" ); document.write( "A right triangle with legs measuring 3 and 4 has a hypotenuse measuring 5. \n" ); document.write( "To make an obtuse triangle we need a wider angle (one measuring more than 90 degrees). \n" ); document.write( "If the angle between sides with lengths 3 and 4 widens, the third side 's length increases, and becomes greater than 5. \n" ); document.write( "However, the third side of a triangle cannot be equal or greater than the sum of the lengths of the other two sides, and with sides measuring 3 and 4, that sum is 3+4=7. \n" ); document.write( " |