Introduction to the project (Provided by the school):

Project Title: Pythagoras Theorem

Name of School: Shun Tak Fraternal Association Yung Yau College

Name of students : Cheng Ka Lai, Wong Yu Hin, Cheng Yuk Kit, Yip Wai Chun, Wong Chun Pan, Ng Ka Ming

          A Summary

Pythagoras Theorem was named after the famous Greek Mathematician, Pythagoras. The theorem states that for any right-angled triangle, the square of the length of its hypotenuse equals the sum of the squares of the other two sides. In ancient China and Europe, people actually started to investigate the relation between the three sides of the right-angled triangle before the Pythagorians. Three thousand years ago in China, a famous mathematician Shang Gao, recorded his findings in the book “Chou Bi Suan Jing”. Ancient Egyptians learned about the ratio of the three sides of a right-angled triangle. They applied the ratio 3:4:5 when drawing right triangles. Nowadays, mathematicians are still fascinated by this theorem. There are more than 400 ways to prove the theorem. Not only is its theoretical proof mesmerizing; the theorem is also practical. In our project, we describe how we apply the theorem to decide whether the rope is long enough to be used. It is always very satisfying when we can solve practical problems with what we learn from the textbook.