Find the area of triangle abc. round your answer to the nearest hundredth. , m∠c = 68°, b = 12.9, c = 15.2
a. 51.90 c. 77.15 b. 60.10 d. 84.99

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)

sorry i just need to anwers this to get points

step-by-step explanation:

angle efh= angle egh