ellepacasso
ellepacasso ellepacasso
  • 20-04-2017
  • Mathematics
contestada

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

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21gaennil
21gaennil 21gaennil
  • 20-04-2017
QR is the shortest line.
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jbiain jbiain
  • 15-11-2019

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.

Answer Link

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