Question

orange county virtual school table of contents assessments grade rep what conclusion can be made for c and e? 30.9° 34° c≥e c≤e c>e c<e

Explanation:

Step1: Recall the angle - side relationship in a triangle

In a triangle, the larger the angle opposite a side, the longer the side.

Step2: Analyze the angles opposite sides \(c\) and \(e\)

In \(\triangle ABC\), side \(c\) is opposite \(\angle BCA = 30.9^{\circ}\). In \(\triangle ADC\), side \(e\) is opposite \(\angle DCA=34^{\circ}\).
Since \(30.9^{\circ}<34^{\circ}\), by the angle - side relationship in a triangle, the side opposite the smaller angle is shorter. So \(c < e\).

Answer:

\(c < e\)