Diagram Explanation: Pythagoras Theorem

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  • Vertices:
    • A(0,0)A(0, 0): The origin and one corner of the right triangle.
    • B(4,0)B(4, 0): The base endpoint on the x-axis.
    • C(0,3)C(0, 3): The height endpoint on the y-axis.
  • Highlighted Right Angle:
    • The ∠A\angle A at the origin is 90∘90^\circ.
  • Hypotenuse (AC):
    • Represents the longest side of the triangle, opposite the right angle.

This visualization supports the proof of AB2+BC2=AC2AB^2 + BC^2 = AC^2 by clearly showing the right triangle structure. Would you like a step-by-step derivation of the theorem or more examples?

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