Question

Determine the longest side in ΔDEF.

Answer 1

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

Answer 2

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.