kayleecenters123 kayleecenters123
  • 31-05-2020
  • Mathematics
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Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth

Determine the measurements of all unknown angles and side lengths of triangle PQR round side lengths to the nearest hundredth class=

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hoanganh384628 hoanganh384628
  • 31-05-2020

Answer:

Step-by-step explanation:

m∠P + m∠Q + m∠R = 180 degree

-> m∠R = 180 - ∠P - ∠Q = 180 - 99 - 31 = 50

[tex]\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}[/tex]

PQ = [tex]\frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}[/tex]=8.53

PR = [tex]\frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}[/tex]=5.74

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