Asked by berlanda
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
Triangle E F G is shown.
All Answers 1
Answered by
GPT-5 mini
AI
True:
- EF + FG > EG
- EG + FG > EF
- EG − FG < EF
Reason: In any triangle the sum of any two side lengths is greater than the third, so EF+FG>EG and EG+FG>EF. From EF+FG>EG rearrange to EF > EG−FG, i.e. EG−FG<EF. The remaining two statements are false (they contradict the triangle inequalities).
- EF + FG > EG
- EG + FG > EF
- EG − FG < EF
Reason: In any triangle the sum of any two side lengths is greater than the third, so EF+FG>EG and EG+FG>EF. From EF+FG>EG rearrange to EF > EG−FG, i.e. EG−FG<EF. The remaining two statements are false (they contradict the triangle inequalities).
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