Question

PLEASE HELP I WILL GIVE BRAINLIEST IF THE ANSWER IS 100% CORRECT!!!!
Which statements regarding are true? Check all that apply.

1. EF+FG>EG
2. EG+FG>EF
3. EG-FG 4. EF-FG>EG
5. EG+EF

Answer 1

1,2 and 4 beacuse the sum of two sides of the triangle is greater than third.

Answer 2

Step-by-step explanation:

Since the triangle inequality theorem states that the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

Upon looking at our given options we can see that option 1 and 2 are correct choices as:

1. $EF+FG>EG$

Our 1st option meets the criteria of sides of a triangle as the sum of lengths of sides EF and FG will be greater than length of third side (EG) of our given triangle EFG.

2. $EG+FG>EF$

Our 2nd option meets the criteria of sides of a triangle as the sum of lengths of sides EG and FG will be greater than third side (EF) of our triangle EFG.

Therefore, 1st and 2nd options are correct choices.