This document provides a collection of exercises and solutions related to the Pythagorean theorem, covering various scenarios and applications of the theorem in geometry and real-life situations.
Extract
[...] Pythagorean Theorem Exercise 1 Exercise 2 Exercise 3 Exercise The triangle IJK is a right triangle at I. Therefore, according to the Pythagorean theorem, we deduce that the lengths of the sides are related by the relation. Now we move on to the root . Exercise The triangle MAT is a right triangle at A. Therefore, according to the Pythagorean theorem, we deduce that the lengths of the sides are related by the relation. We then have the relationship then passing to the root it comes a new relationship which is . [...]
[...] Thus, according to the Pythagorean theorem, we deduce that the lengths of the sides are related by the relation. Now we move on to the root . Finally, Yannick will have saved . b It is known that Yannick (who has apparently become Régis) is walking en . Its speed is therefore . Or also the relation , so to browse Yannick met . c This waste of time is not worth the risk of being run over by a vehicle and Yannick would be better off crossing on the pedestrian crossing. [...]
