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3 years ago

Determine the longest side in ΔDEF.

Mathematics

2 answers:

Jet001 [13]3 years ago

7 0

Solution: segment DF. According to the triangle inequality, the longest side of a triangle is opposite from the largest angle.

Helen [10]3 years ago

6 0

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

Relationship between the side and angle in triangle:

The shortest side is always opposite to the smallest interior angle.
The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

Hence the segment DF is the longest side in the ΔDEF.

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Answer:

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4 years ago

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4 years ago

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