Which statements regarding are true? check all that apply.

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 350 People

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

Answered by maham237 @ 25/12/2020

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,

$EF+FG>EG$
$FG+GE>EF$
$GE+EF>FG$

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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