Question

find the shortest side of $\triangle pqr$.

Explanation:

Step1: Match sides to opposite angles

In a triangle, each side is opposite an angle:

• Side $PQ$ is opposite $\angle R = 64^\circ$
• Side $QR$ is opposite $\angle P = 56^\circ$
• Side $PR$ is opposite $\angle Q = 60^\circ$

Step2: Identify smallest angle

Compare the three angles:
$56^\circ < 60^\circ < 64^\circ$
The smallest angle is $\angle P = 56^\circ$.

Step3: Pair smallest angle to shortest side

The shortest side is opposite the smallest angle. $\angle P$ is opposite side $QR$.

Answer:

$QR$