Answer:
A=10753.5715 m^2.
Step-by-step explanation:
The area of a triangle with the information SAS given is:
A=1/2 * (side) * (other side) * sin(angle between)
A=1/2 * (204.61)*(120.32) * sin(60.881)
A=10753.5715 m^2.
SAS means two sides with angle between.
Answer: [tex]10,753.57\ m^2[/tex]
Step-by-step explanation:
You need to use the SAS area formula. This is:
[tex]A=\frac{a*b*sin(\alpha)}{2}[/tex]
You know that the triangular field has sides of 120.32 meters and 204.61 meters and the angle between them measures 60.881°. Then:
[tex]a=120.32\ m\\b=204.61\ m\\\alpha =60.881\°[/tex]
Substituting these values into the formula, you get that the area of this triangle is:
[tex]A=\frac{(120.32\ m)(204.61\ m)*sin(60.881\°)}{2}\\\\A=10,753.57\ m^2[/tex]
