Question

14 multiple choice 1 point which lists the side lengths in order from shortest to longest? d e f d,e f,d,e f,e,d d,e,f

Explanation:

Step1: Find the third angle

The sum of angles in a triangle is \(180^{\circ}\). Let the third angle be \(x\). Then \(x = 180-(73 + 45)=180 - 118=62^{\circ}\).

Step2: Relate angles and sides

In a triangle, the larger the angle, the longer the side opposite it. The angles are \(45^{\circ}\), \(62^{\circ}\), \(73^{\circ}\). The sides opposite these angles are \(d\), \(f\), \(e\) respectively.

Answer:

\(d,f,e\)