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

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 2

Answer:

A) B) and C)

Step-by-step explanation:

took the test