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

True are:
- EF + FG > EG
- EG + FG > EF
- EG − FG < EF

Reason: In any triangle the sum of any two sides is greater than the third, so the first two are true. The third rearranges to EG < EF + FG, which is the same triangle inequality. The other two statements contradict the triangle inequality and are false.