Pythagoras' Theorem Demonstration by Andrew Kerr
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This example allows users to adjust the side lengths of a right-angled triangle to visually observe and demonstrate Pythagoras' Theorem. The core mathematical concept involved is Pythagoras' Theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. The construction utilizes GeoGebra commands such as Intersect, Point, Segment, and Angle, with objects including points A, B, C, side lengths a, b, c, text1, and angle α. It is suitable for middle school and high school students learning geometry and trigonometry.
GeoGebra Commands & Parameters
Intersect(xAxis, yAxis) → APoint(yAxis) → BSegment(B, A) → aPoint(xAxis) → CSegment(A, C) → bSegment(C, B) → cAngle(B, A, C) → α