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
Answers
Given :- Triangle EFG is shown. Which statements regarding Triangle EFG are true ? Select three options.
A) EF + FG greater-than EG .
B) EG + FG greater-than EF .
C) EG minus FG less-than EF .
D) EF minus FG greater-than EG .
E) EG + EF less-than FG .
Answer :-
we know that, in a ∆ ,
- sum of any two sides is greater than the third side.
- Difference between any two sides is smaller than the third side .
so, in ∆EFG, we have,
- EF + FG > EG .
- FG + EG > EF .
- EF + EG > FG .
and,
- EF - FG < EG or FG - EF < EG
- FG - EG < EF or EG - FG < EF
- EF - EG < FG or EG - EF < FG
from options now we get,
A) EF + FG greater-than EG .
- True .
B) EG + FG greater-than EF .
- True .
C) EG minus FG less-than EF .
- True .
D) EF minus FG greater-than EG .
- False .
E) EG + EF less-than FG .
- False .
therefore, we can conclude that, options (A), (B) and (C) are true .
Similar Question for practice :-
how many triangles can be draw with one side 6cm and perimeter 15cm with other two sides as natural numbers ?
https://brainly.in/question/41379168
Answer:
A) B) and C)
Step-by-step explanation:
took the test