Civil Engineering has always been a challenging field, requiring engineers to solve some complex problems. The Peter Chew Rule, Method, and Theorem are key tools that enable engineers to simplify solve some complex engineering problems. The purpose Peter Chew Rule for solution of triangle is to provide a simple method compare current methods to aid in mathematics teaching and learning. By using the Peter Chew Rule, we can solve some Engineering problems more accurately and with greater ease. This can be especially helpful for students and educators in the field of Mathematics and Engineering. Peter Chew's rule is a better way to calculate certain Engineering Mathematics problem than using cosine rule methods that involve taking the square root step. This is because the square root step can sometimes be imprecise, leading to less accurate results overall. By using Peter Chew's rule, which does not require this step, you can get more accurate answers that will give you a better understanding of what you're measuring or calculating. So if you want to make sure your answers are as accurate as possible, consider using Peter Chew's rule instead of using cosine rule methods that may not be as precise. Peter Chew Method for solving triangles problem was developed with the goal of providing a simple approach to aid in teaching and learning mathematics. By applying this method to some Engineering problems, we can make the learning of Engineering more accessible and less daunting for students. Peter Chew's theorem is a valuable tool in the age of Artificial Intelligence, as it can be used to convert all Quadratic Surds more easily and quickly than current methods. This can greatly improve the effectiveness of teaching and learning mathematics. In the case of future epidemics such as Covid-19, when students may have to study from home, Peter Chew's theorem can help facilitate remote mathematics education. Presenting numbers in surd form is quite common in science and engineering especially where a calculator is either not allowed or unavailable, and the calculations to be undertaken involve irrational values. In these cases, the Peter Chew theorem can be a valuable tool in teaching and learning engineering, as it allows for exact value answers to be achieved. Peter Chew Rule and Method are Simple Solution in Peter Chew Triangle Diagram and Peter Chew Triangle Diagram Peter Chew Triangle Diagram has passed double-blind review by The 12th International Conference on Engineering Mathematics and Physics, ICEMP 2023. Peter Chew Triangle Diagram(preprint) is share at World Health Organization(WHO) Peter Chew Theorem for Quadratic Surds also has passed double-blind review by The 12th International Conference on Engineering Mathematics and Physics, ICEMP 2023. Peter Chew Theorem (preprint) is also share at World Health Organization