Answer:
The area of the triangle = 84.99 units² ⇒ answer (d)
Step-by-step explanation:
∵ m∠C = 68° , b = 12.9 , c = 15.2
To find the area of Δ we must find m∠A or a
∵ By using sin Rule:
∵ c/sin∠C = b/sin∠B
∴ 15.2/sin68 = 12.9/sinB
∴ sinB = (12.9 × sin68) ÷ 15.2 = 0.7868863
∴ m∠B = 51.90°
∴ m∠A = 180 - 68 - 51.90 = 60.10°
∵ Area of Δ = 1/2 × S1 × S2 × sin including angle
∴ A = 1/2 × b × c × sinA
∴ A = 1/2 × 12.9 × 15.2 × sin60.10 = 84.99 units² ⇒ answer (d)
