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Find the are of ABC with the side lengths a=8 and b=12, and included angle C=84 degrees. Round your answer to the nearest tenth

User Pixartist
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1 Answer

3 votes

Answer:

47.7 square units

Explanation:

It is important to know that,

The area of any triangle with two given sides and an inclusive angle = 1/2(absinθ)

In the question above, we are given the following values:

Where : a = 8, b = 12, θ = C = 84°

Area of the Triangle ABC = 1/2 ×( 8 × 12 × sin 84)

Area of Triangle ABC = 47.737050978 square units

Approximately to the nearest tenth = 47.7 square units.

Therefore, the Area of triangle ABC to the nearest tenth = 47.7 square units.

User Fuzzyma
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