Question

1. find the area of $\triangle pqr$

Explanation:

Step1: Identify given values

Side \(PR = 7.4\), side \(RQ = 6.5\), angle at \(R = 58^\circ\)

Step2: Apply area formula for SAS triangle

Area = \(\frac{1}{2} \times PR \times RQ \times \sin(58^\circ)\)

Step3: Calculate the value

\(\sin(58^\circ) \approx 0.8480\), so Area ≈ \(\frac{1}{2} \times 7.4 \times 6.5 \times 0.8480 ≈ 20.5\)

Answer:

20.5 (rounded to one decimal place)