Q:

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

Accepted Solution

A:
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[tex]a+b>c\\ \\a+c>b\\ \\b+c>a[/tex]In triangle EFG:[tex]EF+FG>EG;[/tex][tex]EG+GF>EF;[/tex][tex]FE+EG>FG.[/tex]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.