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20 November, 22:19

In triangle XYZ, side x is 38 units, side y is 19 units, and the measure of angle Z is 51˚. What is the area of triangle XYZ?

Question 4 options:

483.9 square units

280.5 square units

242.0 square units

561.1 square units

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Answers (1)
  1. 21 November, 02:15
    0
    242.0 square units

    Step-by-step explanation:

    For a triangle ABC whose lengths are a, b and c with the sides facing the angles A, B and C respectively, then the area T of the triangle may be expressed as

    T = 1/2 ab Sin C

    T = 1/2 bc Sin A

    T = 1/2 ac Sin B

    depending on the angle and sides given.

    Hence for the given triangle, the area

    = 1/2 * 38 * 19 * Sin 51˚

    = 361 * 0.6702

    = 241.94 square units

    ≈ 242.0 square units
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