PART A
Objective:
The objective of the calculation is to estimate the area of a triangular closed shape, for which one side is irregular
Procedure employed:
- The irregular side of the triangle is approximated for several small triangles.
- The area of each of these triangles is estimated from the base length and the height.
- Further the total area of the triangle is calculated from these findings
- Total area of the triangle is reported accordingly.
Formulae employed: Area of the triangle is calculated using the equation,
: ½* Base * Height.
Note: approximation of the findings to 3 decimal points
Results: The total area of the triangle is found to be 206985.113 mm2
Formulae used: Trapezoidal rule = ½* (a+b)*h
Area of triangle = sqrt(s*(s-a)*(s-b)*(s-c))
PART B
Objective:
To determine the average length of the side of a triangular plot of land.
The final area of ABC to about 3dp.
Procedure:
The dimensions of AB and BC are fixed.
The third length of the AC has been measured number of times.
To determine average value of AC from statistical principles.
(Given frequency and the measured values).
Results: The total are of the triangle is found to be 8810.135 mm2
Formulae used: Mean length = (sum of class average* Frequency)/ Total instances
Results: Are of the triangle is found to be 8810.135 mm2.
References
Fisz, M., & Bartoszyński, R. (2018). Probability theory and mathematical statistics (Vol. 3). J. wiley.
Pipes, L. A., & Harvill, L. R. (2014). Applied mathematics for engineers and physicists. Courier Corporation.
APPENDIX
Formulae details:
