Question

in △qrs, m∠q = 63°, m∠r = 70°, and m∠s = 47°. which side of △qrs is the shortest?
a. $overline{qs}$
b. $overline{qr}$
c. $overline{rs}$
d. cannot be determined

Explanation:

Step1: Recall angle - side relationship

In a triangle, the shortest side is opposite the smallest angle.

Step2: Identify the smallest angle

Given \(m\angle Q = 63^{\circ}\), \(m\angle R=70^{\circ}\), and \(m\angle S = 47^{\circ}\). The smallest angle is \(\angle S\).

Step3: Find the side opposite the smallest angle

The side opposite \(\angle S\) is \(\overline{QR}\).

Answer:

B. \(\overline{QR}\)