Which statements regarding triangle e f g are true? select three options. e f f g greater-than e g e g f g greater-than e f e g minus f g less-than e f e f minus f g greater-than e g e g e f less-than f g

Respuesta :

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.

What is the triangle inequality theorem?

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

  • (a+b) > c
  • (b+c) > a
  • (c+a) > b

For the given triangle, using the triangle inequality law, we can write,

EF + FG > EG

FG + EG > EF

EG + EF > FG

Hence, the correct options are A, B, and C.

Learn more about the Triangle Inequality Theorem:

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