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Pythagoras' Theorem Worksheet

Pythagoras' Theorem Worksheet
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2014-10-14 01:40
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the application of Pythagoras' Theorem in right-angled triangles, visually showing the relationship between the lengths of the sides. Core math concepts include Pythagoras' Theorem, right-angled triangles, and coordinate geometry. Construction highlights use GeoGebra commands like Polygon and Angle, along with objects such as text1, P, Q, S, poly1, c, a, b, R, poly2, c_1, b_1, d, text2, text2_1, text2_2, α, β for building the figure and annotations. Suitable for middle school and above students to learn and understand the geometric meaning and practical applications of Pythagoras' Theorem.

GeoGebra Commands & Parameters

  1. Polygon(P, Q, S) → poly1, c, a, b
  2. Polygon(Q, R, S) → poly2, c_1, b_1, d
  3. Angle(P, Q, S) → α
  4. Angle(R, S, Q) → β

AI Drawing Prompt Reference

Draw a right-angled triangle with labeled vertices, and construct two parallelograms using the two legs and the hypotenuse respectively to illustrate the relationship between the side lengths. Label the two acute angles of the triangle with angle symbols and add text annotations explaining the application of Pythagoras' Theorem.
The prompt above was compiled from the original drawing commands and is for reference only.