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Pythagoras' Theorem and Applications

Geometry and Measures Pythagoras' Theorem and Applications

🎬 Video Tutorial

  • (0:01) Pythagoras’ Theorem: In a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides $(a^2 + b^2 = c^2)$.
  • (0:20) Finding the Missing Side of a Triangle: Substitute known side lengths into the equation to solve for the unknown side.
  • (1:37) Coordinate Geometry Application: Determine the distance between two points by using horizontal and vertical distances to form a right triangle.
  • (2:19) 3D Pythagoras: Use to find diagonals in cuboids, which is useful for calculating distances in three-dimensional shapes.

📂 Revision Cards

Diagram explaining Pythagoras' theorem using two right-angled triangles, showing the equation a² + b² = c², and an example showing 3² + 4² = 5².
1) Pythagoras Theorem
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.
2) Pythagoras Theorem, missing side triangle
Pythagoras' theorem example showing a right-angled triangle with sides 6, 8, and hypotenuse x. Equation 6² + 8² = x² solves for x = 10.
3) Pythagoras Theorem, distance two points
Pythagoras' theorem applied to a 3D cuboid, calculating the hypotenuse x using d² + 3² = x² where d² = 4² + 2², leading to x = ?29.
4) Pythagoras Theorem, room diagonale cuboid

🍪 Quiz

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