Answer:
The answers for this are as followed:
Area = 906.12058 (Rounded to the nearest tenth = 906.1)
Perimeter = 138.94608 (Rounded to the nearest tenth = 138.9)
Semiperimeter = 69.47304 (Rounded to the nearest tenth = 69.5)
Step-by-step explanation:
This is an Acute Scalene Triangle, with the side and angle measurements being:
Side A = 49
Side B = 40.17851 (Rounded = 40.2)
Side C = 49.76757 (Rounded = 49. 8)
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Angle ∠A = 65° = 1.13446 rad
Angle ∠B = 48° = 0.83776 rad = 4/15π
Angle ∠C = 67° = 1.16937 rad
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∠C = 180° - A - B = 1.16937 rad = 67°
b = a·sin(B)/sin(A) = 40.17851
c = a·sin(C)/sin(A) = 49.76757
In order to find the area, just use the equation: [tex]\frac{ab x sin(C)}{2}[/tex]
