document.write( "Question 474669: Can a triangle be formed with sides 2, 3, and 6 centimters? Why or why not?\r
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document.write( "I set this up as pythagorean theorem
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document.write( "a2 + b2 = c2\r
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document.write( "2'2 + 3'2 = 6'2
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document.write( "4 + 9 = 36\r
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document.write( "Would the answer would be No a triangle can not be formed? \n" );
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Algebra.Com's Answer #325516 by richard1234(7193)![]() ![]() You can put this solution on YOUR website! You only use Pythagorean theorem if you want to show whether a triangle is a right triangle. For example, an equilateral triangle with sides 1,1,1 does not satisfy the Pythagorean theorem (1+1 is not equal to 1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have to use the triangle inequality which says that for a triangle, the sum of any two sides is always larger than the third side. Here, 2+3 is less than 6, so this violates the triangle inequality, hence a triangle with sides 2,3,6 cannot exist. \n" ); document.write( " |