Pythagorean theorem, geometry, geography, physics, right triangles, real-world applications
Explore the practical applications of the Pythagorean theorem in various real-world scenarios, including geometry, geography, and physics. This document provides detailed explanations and examples of how the theorem is used to solve problems in different fields.
[...] The Pythagorean Theorem Exercise 1 - For the first triangle, it is a right triangle so we can write : - Nothing indicates that the second triangle is a right triangle, so we cannot write the Pythagorean equality - For the third triangle, it is a right triangle so we can write: Exercise 2 Let us call A the point representing the plane, B the point representing Paris and C the point representing the airport. The triangle ABC has a right angle at B. Let us apply the Pythagorean theorem: The plane was flying at an altitude of 14 km above Paris Exercise 3 Let us call C the point on the ground directly below B. In triangle ABC, we have: We have then: Thus, according to the Pythagorean theorem, the apprentice's wall is indeed perpendicular to the ground. [...]
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