Answer:
The area of the Δ = 44.5 units² ⇒ answer (a)
Step-by-step explanation:
∵ a = 9.71 , c = 9.33 , m∠A = 52°
To find the area of the triangle we must have:
m∠B or b
By using sin Rule:
∵ a/sin∠A = c/sin∠C
∴ 9.71/sin52 = 9.33/sinC
∴ sinC = (9.33 × sin52) ÷ 9.71 = 0.757172
∴ m∠C = 49.2°
∴ m∠B = 180 - 52 - 49.2 = 78.8°
∵ A the Δ = 1/2 × a × c × sinB
∴ A = 1/2 × 9.71 × 9.33 × sin78.8 = 44.5 units² ⇒ answer (a)
