Question

consider the triangle shown. which shows the sides in order from longest to shortest? pq, rq, rp rq, rp, pq rp, pq, rq rq, pq, rp

Explanation:

Step1: Recall the triangle side - angle relationship

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

Step2: Compare the angles

The angles of the triangle are \(105^{\circ}\), \(40^{\circ}\), and \(35^{\circ}\). The order of angles from largest to smallest is \(105^{\circ}>40^{\circ}>35^{\circ}\).

Step3: Determine the sides opposite the angles

The side opposite \(105^{\circ}\) is \(RQ\), the side opposite \(40^{\circ}\) is \(PQ\), and the side opposite \(35^{\circ}\) is \(RP\).

Answer:

\(RQ, PQ, RP\)