Final answer:
The Pythagorean Theorem is a mathematical principle stating that in a right-angled triangle, the sum of the squares of the two shorter sides equals the square of the hypotenuse, and it can be used to calculate distances on a coordinate grid.
Step-by-step explanation:
The key concepts of the Pythagorean Theorem include: d) All of the above.
- The sum of the squares of the two shorter sides of a right triangle equals the square of the hypotenuse (a² + b² = c²).
- It applies exclusively to right-angled triangles.
- It can be leveraged to find the distance between two points on a coordinate system by forming a right triangle where the two points serve as corners of the triangle, and their distance as the hypotenuse.
Understanding and applying the Pythagorean theorem is a fundamental aspect of geometry and is useful in various practical and theoretical applications in mathematics and science.