Which statements regarding ΔEFG are true? Check all that apply. EF + FG > EG EG + FG > EF EG - FG < EF EF - FG > EG EG + EF < FG

QUESTION POSTED AT 01/06/2020 - 04:34 PM

Answered by admin AT 01/06/2020 - 04:34 PM

Answer-

The correct options are,

EF + FG > EG\\\\EG + FG > EF\\\\EG - FG < EF

Solution-

Triangle Inequality Theorem

The sum of any 2 sides of a triangle must be greater than the measure of the third side.

Applying so in the given triangle EFG,

  1. EF+FG>EG
  2. FG+GE>EF
  3. GE+EF>FG

Option 1 and Option 2 matches with the derived inequalities, so they are correct.

Option 3 is EG - FG < EF\Rightarrow EG < EF+FG equal to the option 1, so it also correct.

Other 2 options does not match the conditions.


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