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In ΔQRS, m∠Q = 70°, m∠R = 44°, and m∠S = 66°. Which side of ΔQRS is the shortest?

A. RS
B. QR
C. Cannot be determined
D. QS

Sagot :

GinnyAnsweridn
To determine which side of triangle [tex]\( \triangle QRS \)[/tex] is the shortest, we need to consider the properties of the angles given. In any triangle, the side opposite the smallest angle is the shortest.

Let's list the given angles in [tex]\( \triangle QRS \)[/tex]:
- [tex]\( \angle Q = 70^\circ \)[/tex]
- [tex]\( \angle R = 44^\circ \)[/tex]
- [tex]\( \angle S = 66^\circ \)[/tex]

We can compare these angles to find the smallest angle:
- [tex]\( \angle Q = 70^\circ \)[/tex]
- [tex]\( \angle R = 44^\circ \)[/tex]
- [tex]\( \angle S = 66^\circ \)[/tex]

The smallest angle among these is [tex]\( \angle R = 44^\circ \)[/tex].

The side opposite to [tex]\( \angle R \)[/tex] is side [tex]\( QS \)[/tex].

Thus, the shortest side of [tex]\( \triangle QRS \)[/tex] is:
D. [tex]\( QS \)[/tex]
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