Question

practice b: (first taught in lesson 49) in △def, ∠f is obtuse. which is the longest side of the triangle? after you enter your answer press go.

Explanation:

Step1: Recall triangle side - angle relationship

In a triangle, the longest side is opposite the largest angle.

Step2: Identify the largest angle

Given that in \(\triangle DEF\), \(\angle F\) is obtuse. Since an obtuse angle (\(> 90^{\circ}\)) is larger than acute angles (\(<90^{\circ}\)), \(\angle F\) is the largest angle in \(\triangle DEF\).

Step3: Determine the side opposite \(\angle F\)

The side opposite \(\angle F\) is \(DE\).

Answer:

\(DE\)