Respuesta :
According to the triangle inequality theorem; D)2,3,6 can not be the lengths of the sides of a triangle
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side of that triangle
If the two shortest sides are put end to end, they should be longer than the longest side to be able to angle up to form a triangle.
Therefore applying this theorem in this case;
A) 2,3,4: The sum of 2 and 3 = 5; which is greater than 4
B) 2,3,2: The sum of 2 and 2 = 4; which is greater than 3
C) 2,3,3: The sum of 2 and 3 = 5; which is greater than 3
D) 2,3,6: The sum of 2 and 3 = 5; which is not greater than 6; therefore according to the triangle inequality theorem these cannot be the lengths of the sides of a triangle.
To learn more about the triangle inequality theorem; click here:
https://brainly.com/question/28952893
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