Question

in △def, m∠d = 58, m∠e = 60, and m∠f = 62. which side of the triangle is the shortest? a de b ef c df

Explanation:

Step1: Recall the side - angle relationship in a triangle

In a triangle, the side opposite the smaller angle is shorter.

Step2: Identify the smallest angle

Given \(m\angle D = 58^{\circ}\), \(m\angle E=60^{\circ}\), \(m\angle F = 62^{\circ}\). The smallest angle is \(\angle D\) with measure \(58^{\circ}\).

Step3: Determine the side opposite the smallest angle

The side opposite \(\angle D\) is \(\overline{EF}\) (since in \(\triangle DEF\), side \(EF\) is opposite \(\angle D\), side \(DF\) is opposite \(\angle E\), and side \(DE\) is opposite \(\angle F\)).

Answer:

B. \(\overline{EF}\)