3 years ago

In QRS, mQ = 63, mR = 70, and mS = 47. Which side of QRS is the shortest?

Mathematics

2 answers:

Anastaziya [24]3 years ago

8 0

Answer:

QR is the shortest side

Step-by-step explanation:

∡S is opposite to side QR

∡Q is opposite to side SR

∡R is opposite to side QS

Law of sines states:

QR/sin(∡S) = SR/sin(∡Q) = QS/sin(∡R)

Given that: ∡S < ∡Q < ∡R; then, sin(∡S) < sin(∡Q) < sin(∡R)

In order to satisfy the law of the sines, side QR must be shorter than side SR, and side SR must be shorter than side QS.

marishachu [46]3 years ago

3 0

QR is the shortest line.

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