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한국어
Class 9 · Mathematics

Build Pythagoras’ squares

Interactive explanation Gamified quiz, feedback & rewards

0 XP0 mastered
Suggested-level exploration · Learning goals & preparation

By the end, you can…

  • Explain a² + b² = c²
  • Change one input at a time and predict its effect before checking the model.
  • Apply the relationship in a quiz and explain the reasoning behind your answer.

Useful preparation: Basic arithmetic, fractions and reading simple diagrams.

This topic has a suggested learning level. A matching chapter in the current NCERT edition has not been verified, so it is not labelled as syllabus coverage.

Hands-on explainer · Class 9

Build Pythagoras’ squares

Class 9
3² + 2² = 13Area = 9Area = 4Area = 13c = √13 ≈ 3.61Small-square tiles show unit area; the large square fills to the same total.
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The relationshipa² + b² = c²
01 · How to explore

Make the idea your own

  1. 1Change the lengths of the perpendicular legs.
  2. 2Compare the two smaller square areas with the large square.
  3. 3Run the area reveal to see why lengths must be squared.
02 · Take it further

Explain the experiment

When the goal is met: The 3–4–5 triangle works because 9 + 16 = 25. Interchanging the legs also works.