Which inequality explains why these three segments cannot be used to construct a triangle? ef fd > de ed ef < df ed ef > df ef fd < de

Question

05-08-2022
Mathematics

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Which inequality explains why these three segments cannot be used to construct a triangle? ef fd > de ed ef < df ed ef > df ef fd < de

Sagot :

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anjithaka anjithaka · Answer 1 · 2022-08-09T07:19:44-04:00

We have the segments EF, FD, and DE.

Therefore, the correct answer is

ED + EF < DF

EF + FD < DE

What is Triangle Inequality Theorem?

The Triangle Inequality Theorem states that the totality of any side of a triangle must be greater than the measure of the third side in this problem.

We have the segments EF, FD, and DE.

To construct a triangle three inequalities must be met

case 1: EF + FD > DE

case 2: FD + DE > EF

case 3: EF + DE > FD

Therefore, the correct answer is

ED + EF < DF

EF + FD < DE

To learn more about inequality refer to:

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Sagot :

What is Triangle Inequality Theorem?

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