Explore how the three sides of a right triangle are related. Drag the green handle to change the base (b) and watch how the hypotenuse (c) changes.

• Height (a) — the vertical leg is fixed by the scenario preset.
• Green handle — drag it along the base to change the horizontal leg (b).
• Click ⊓ Squares to see area squares on each side — do a² + b² always equal c²?
• Use the toolbar Play button to auto-sweep through values and collect data.
• Use the toolbar Collect Data button to record a single measurement.

This simulation supports investigation of the Pythagorean theorem across five real-world contexts.

• Five scenarios (Ladder, Kite, Slide, Roof, Ramp) ground the abstract relationship a² + b² = c² in familiar settings.
• The Squares mode provides a geometric proof — the combined area of the two legs' squares equals the hypotenuse's square.
• Students can collect data manually or use the auto-sweep to generate a full dataset for analysis in Tuva Data Tools.
• Collected data includes scenario, units, and all three side lengths — suitable for curve-fitting (c vs. b at fixed a).