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Triangle LMN is an obtuse triangle with l = 6, n = 8.3, and m∠M = 132°. What is the area of ΔLMN? Round your answer to the nearest tenth.

10.2 square units
18.5 square units
24.9 square units
37.0 square units

Relax

Respuesta :

Answer:

  • B) 18.5 square units

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Given two sides and the included angle measure.

Use area formula for such triangles:

  • A = ab*sin ∠C / 2

Substitute values and calculate:

  • A = 6*8.3*sin 132° / 2
  • A = 18.5 (rounded)

The matching choice is B.