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If the area of the triangle is 5cm^2. find the angle.​

If the area of the triangle is 5cm^2. find the angle.​-example-1
User StenaviN
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1 Answer

19 votes
19 votes

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Answer:

the angle is 30°

Explanation:

The area of a triangle given two sides and the included angle is ...

A = 1/2ab·sin(C)

5 cm² = 1/2(4 cm)(5 cm)sin(θ)

0.5 = sin(θ) . . . . . . divide by 10 cm²

θ = arcsin(.5) ≈ 30°

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Additional comment

An obtuse angle of 150° in that location will give a triangle with the same area.

If the area of the triangle is 5cm^2. find the angle.​-example-1
User Joe Simpson
by
2.3k points