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garri49 [273]
3 years ago
15

Triangle E D F has sides that are of varying lengths. Side E D has a length of 4 and side E F has a length of 9.

Mathematics
2 answers:
KonstantinChe [14]3 years ago
5 0

Answer:

DE + EF > DF

5 < DF < 13

Triangle DEF is a scalene triangle

Step-by-step explanation:

Got it right on Edge.

9966 [12]3 years ago
3 0

Answer:

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

Step-by-step explanation:

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

we have the triangle EDF

where

ED=4\ units\\EF=9\ units

<u><em>Applying the triangle inequality theorem</em></u>

1)

ED+EF > DF\\4+9 > DF\\13 > DF\\DF < 13\ units

2)

ED+DF > EF\\4+DF > 9\\DF > 5\ units

so

The length of DF is the interval -----> (5,13)

The triangle DEF is a scalene triangle (the three length sides are different)

therefore

<em>The statements that are true are</em>

D E + E F greater-than D F

5 less-than D F less-than 13

Triangle D E F is a scalene triangle

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