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

If The Area Of The Triangle Is 5cm2 Find The Angle class=

Sagot :

9514 1404 393

Answer:

  the angle is 30°

Step-by-step 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.

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