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1 vote
Given that the area of a triangle ABC is 4.5 m², a=4, b=3, find two possible measures for angle C. Round your answer to the nearest tenth

User Jinette
by
7.6k points

1 Answer

1 vote

Answer:


C = 48.6

Explanation:

Given


Area= 4.5m^2


a =4


b = 3

Required

Find angle C

The area of the triangle will be calculated using:


Area = (1)/(2)ab \sin C

So, we have:


4.5= (1)/(2) * 4 * 3 * \sin C


4.5= 6 * \sin C

Divide both sides by 6


0.75= \sin C

Take arc sin of both sides


\sin^(-1)(0.75)= C


48.6 = C


C = 48.6

User Simon Zeinstra
by
8.3k points

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