In triangle qrs, angle q measures 33.7°, angle r measures 52.3°, and angle s measures 94°. based on the information that is provided, which could be a correct set of sides for this set of angles?
side qr = 7 cm , side rs = 10 cm , side qs = 12.6 cm
side qr = 10 cm, side rs = 7 cm, side qs = 12.6 cm
side qr = 12.6 cm, side rs = 10 cm, side qs = 7 cm
side qr = 12.6 cm, side rs = 7 cm, side qs = 10 cm

Option (d): side QR = 12.6 cm, side RS = 7 cm, side QS = 10 cm

Step-by-step explanation:

In a triangle, we have two Relationships between sides and interior angles in a triangle. i.e.

   2. And, the longest interior angle is always opposite to largest side of a triangle.

Since, In given triangle longest angle is ∠S = 94°

So it must be opposite to the side QR and side QR must be largest side.

Hence, side QR = 12.6 cm.

Now, the smallest angle is ∠Q = 33.7°

So it must be opposite to the side RS and side RS must be smallest side.

Hence, side RS = 7 cm.

As we see only option (d) is matching above situation.

the correct answer is the second option