qopkepk3949 qopkepk3949
  • 13-01-2021
  • Mathematics
contestada

Find the area of triangle ABC with the given side lengths and included angle. 1. B= 124 degrees, a=9, c=11

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pstnonsonjoku
pstnonsonjoku pstnonsonjoku
  • 13-01-2021

Answer:

41

Step-by-step explanation:

We can obtain the area of a triangle where two sides and an included angle is given by saying; 1/2 ab sinθ

where a and b are the given sides of the triangle and θ is the included angle.

From the formula for the area of the triangle;

Area of a triangle = 1/2 ac sin B

Area of the triangle = 1/2 * 9 * 11 * sin 124

Area of the triangle = 49.5 * sin 124

Area of the triangle =  41

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