Question

10,459 Learners found this answer helpful

find the shortest side of δdef.

Explanation:

Step1: Find angle at D

The sum of angles in a triangle is \(180^\circ\). So, \(\angle D = 180^\circ - 57^\circ - 62^\circ = 61^\circ\).

Step2: Relate angles to sides

In a triangle, the shortest side is opposite the smallest angle. The angles are \(57^\circ\) (at E), \(61^\circ\) (at D), and \(62^\circ\) (at F). The smallest angle is \(57^\circ\) at E, so the side opposite to E is \(DF\).

Answer:

The shortest side of \(\triangle DEF\) is \(DF\).