The Area Of My Land In Florida
Piece of Land
Steps to Prove My Correctness
The law of sine states a/sin(A)=b/sin(B), a/sin(A)=c/sin(C), b/sin(B)=c/sin(C).
The law of cosine states that a^2=b^2+c^2-2(c)(b)cos(A),b^2=a^2+c^2-2(a)(c)cos(B),c^2=b^2+a^2-2(a)(b)cos(C)
Law of Sine
Side C=2311.68 feet, which is very close to the original measurement.
Side A=3271.41 feet, which is also very close to the original measurement.
Law of Cosine
Side B=3854.29 feet. This is correct because it is the hypotenuse of the firs triangle and a normal side of the second triangle. The hypotenuse is the longest side in a triangle, and that is what it is for triangle one making it accurate.
Angle B=61 degrees. This seems accurate because in the piece of land which side c and side a meet forms a acute angle. An acute angle is less than 90 degrees and this angle is less than 90 degrees.
Finding the Area
The area all together became 8,313,810 ft squared. Although this seem like a lot, it is very accurate for this huge piece of land. The side are almost a mile long, so the square footage seems accurate.