What is the Pythagorean theorem?

Study for the FAA-H-8083-30B AMT General Handbook – Mathematics in Aviation Maintenance Exam. Engage with flashcards and multiple choice questions, with hints and explanations. Get ready for your exam!

The Pythagorean theorem is a fundamental principle in geometry that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This relationship is articulated in the formula a² + b² = c², where 'a' and 'b' represent the lengths of the two legs of the triangle, and 'c' represents the length of the hypotenuse.

Understanding this theorem is essential in various applications, especially in fields like aviation maintenance, where precise measurements and calculations are critical for safety and performance. The relationship provided by the theorem is foundational for solving problems involving distances, angles, and structural integrity in aviation structures and components.

The other options do not accurately define the theorem as they either misidentify the sides of the triangle or present incorrect mathematical relationships. Recognizing the correct formulation of the Pythagorean theorem allows one to apply it properly in practical scenarios, highlighting its importance in mathematical applications across diverse technical fields.

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