Geometry and Measures

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Pythagoras' Theorem and Applications

Geometry and Measures Pythagoras' Theorem and Applications

🎬 Video Tutorial

  • Pythagoras’ theorem: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides (a² + b² = c²).
  • Finding the missing side of a triangle: Substitute known side lengths into the equation.
  • Coordinate geometry application: Determine the distance between points by using horizontal and vertical distances to form a right triangle.
  • 3D Pythagoras: Find diagonals in cuboids, which is useful for calculating distances in solids.

📂 Revision Cards

Diagram explaining Pythagoras' theorem using two right-angled triangles, showing the equation a² + b² = c², and an example showing 3² + 4² = 5².
Right-angled triangle with sides 5 cm, 13 cm, and unknown side x. Using Pythagoras' theorem, x is calculated as 12 cm with steps shown.
Pythagoras' theorem example showing a right-angled triangle with sides 6, 8, and hypotenuse x. Equation 6² + 8² = x² solves for x = 10.
Pythagoras' theorem applied to a 3D cuboid, calculating the hypotenuse x using d² + 3² = x² where d² = 4² + 2², leading to x = ?29.

💬 ChatCat (AI Math Tutor)

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