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Two sides of a triangle measure 6 and 8, and the measure of the included angle is 150 degrees. What is the area of the triangle

Respuesta :

calculista

Answer:

The area of the triangle is [tex]12\ units^{2}[/tex]

Step-by-step explanation:

we know that

The formula to calculate the area of a triangle by the Side-Angle-Side (SAS) Method is equal to

[tex]A=\frac{1}{2} (a)(b)sin(C)[/tex]

we have

[tex]a=6\ units[/tex]

[tex]b=8\ units[/tex]

[tex]C=150\°[/tex]

substitute in the formula

[tex]A=\frac{1}{2} (6)(8)sin(150\°)=12\ units^{2}[/tex]

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