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MATHEMATICS MISSIONS / CHALLENGE 04

Pythagorean Theorem Puzzle

Use area and distance relationships to solve right-triangle puzzles.

YOUR MATH BADGES0 / 12Problem solver
RIGHT-TRIANGLE QUESTManipulate. Predict. Prove it visually.+1 MATH BADGE
LIVE MATHEMATICAL MODELREADY
34c = ?AREA EQUATION3² + 4² = c²9 + 16 = 25Your c: 7.0
Leg a3
Leg b4
a² + b²25
The graph uses equal coordinate scale where geometry requires it. Values update directly from the displayed equations.
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Free online Pythagorean theorem game

Pythagorean Theorem Puzzle: experiment guide

This browser-based math game helps you use area and distance relationships to solve right-triangle puzzles. Designed for Grades 7–12, it turns an abstract idea into a model you can control, measure, reset, and test without signing up.

What you can investigate

Explore Right triangles, squares, distance, a²+b²=c² by changing the available controls and comparing the model’s visual and numerical evidence. Try one variable at a time, then combine changes to test a stronger explanation.

Right trianglessquaresdistancea²+b²=c²

How to use this simulation

  1. 1Read the mission and make a prediction before moving a control.
  2. 2Change one variable so its effect is easier to identify.
  3. 3Run the model and record a value, pattern, or visible change.
  4. 4Reset, test a different setup, and explain the result from evidence.

For students, teachers, and independent study

A typical investigation takes 6–10 min. Use it as a lesson demonstration, a guided inquiry activity, a homework experiment, or a quick review. The simulation runs in a modern web browser and does not require an account.

Level
Beginner
Time
6–10 min
Format
Math game

Common questions

What does the Pythagorean Theorem Puzzle teach?

Use area and distance relationships to solve right-triangle puzzles. The main ideas are Right triangles, squares, distance, a²+b²=c².

Is the Pythagorean Theorem Puzzle free to use?

Yes. You can run the simulation online for free without creating an account.

How long does the activity take?

Most learners can complete one investigation in 6–10 min. You can repeat it to compare more variables or improve your explanation.