Triangle E F G is shown.
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 :

Step-by-step explanation:

there is no triangle shown.

options 1, 2, 3 are true (true for any triangle).

one of the basic rules for a triangle is that the sum of the lengths of any pair of sides must be greater than the length of the third side.

otherwise it would not be a triangle, because the end points could not connect.

so, the first 2 options are perfectly clear and true.

the 5th option is a direct violation of the principle and therefore false.

options 3 : if it were false, that would mean E G minus F G is greater than E F. but that would mean E G > E F + F G.

and that would be a violation of the triangle principle (a single side cannot be larger than the sum of the other 2 sides - again, the end points would not be able to connect). so, it is true.

for the same reason, option 4 is false.

E F - F G > E G

E F > E G + F G

Answer:

its options 1,2, and 3

Step-by-step explanation:

i took the test and got it right