Question

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

Answer 1

Answer:

1) E F + F G greater-than E G

2) E G + F G greater-than E F

3) E G minus F G less-than E F

Step-by-step explanation:

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Answer 2

Answer:

options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Step-by-step explanation:

Given triangle EFG.

In each tirangle with sides lengths a, b and c, we always have

$a+b>c\\ \\a+c>b\\ \\b+c>a$

In triangle EFG:

• $EF+FG>EG;$
• $EG+GF>EF;$
• $FE+EG>FG.$

So, options 1 ( E F + F G greater-than E G ), 2 (E G + F G greater-than E F ) and 5 ( E G + E F less-than F G ) are true.

Options 3 and 4 are false.