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Answer:

74.6

Step-by-step explanation:

The area of the given triangle in the image is 74.8m².

What is a triangle?

A triangle is simply a polygon with three vertices with three edges.

A scalene triangle is the triangle with no equal sides and angles.

It area can be calculated using the expression;

A = 1/2 × absinθ

Given the data in question;

  • Length of side a = 15m
  • Length of side b = 11m
  • Length of side c = 22m
  • Angle C = 115°

To determine the area of the triangle, we substitute our given values into the expression above.

A = 1/2 × absinθ

A = 1/2 × 15m × 11m × sin( 115° )

A = 0.5 × 15m × 11m × 0.9063

A = 74.76975m²

A = 74.8m²

Therefore, the area of the given triangle in the image is 74.8m²

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