Question

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

Answer 1

Answer:

Step-by-step explanation:

m∠P + m∠Q + m∠R = 180 degree

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

$\frac{PQ}{sin(R)} =\frac{PR}{sin(Q)} =\frac{QR}{sin(P)}$

PQ = $\frac{QR*sin(R)}{sin(P)} = \frac{11*sin(50)}{sin(99)}$=8.53

PR = $\frac{QR*sin(Q)}{sin(P)} = \frac{11*sin(31)}{sin(99)}$=5.74