Question

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

Answer 1

Explanation:

m∠P + m∠Q + m∠R = 180 degree

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

`(PQ)/(sin(R)) =(PR)/(sin(Q)) =(QR)/(sin(P))`

PQ =
`(QR*sin(R))/(sin(P)) = (11*sin(50))/(sin(99))`=8.53

PR =
`(QR*sin(Q))/(sin(P)) = (11*sin(31))/(sin(99))`=5.74