Math · GeometryVISUAL DISCOVERY 05 OF 1,100
Squares on a Right Triangle
Explorer · about 8 minutes · a little curiosity goes a long way
For grown-ups
Today’s little discovery
For a right triangle, the square built on the longest side has exactly the combined area of the squares on the two legs. The equality compares areas, then the square root gives the side length.
Keep asking whether the numbers describe side lengths or square areas.
This is a learning model. Try the take-home activity together.Voice settings
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Your selected voice and opening narration get ready when the page opens with Sound on. The first visit downloads a voice model (about 92 MB), which your browser can cache. No lesson text is sent to a speech service.The sample plays once and does not change the Sound on/off setting.- Wonder
- Guess
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HERE’S A LITTLE WONDER…
How can two square areas exactly fill a third?
Three square courtyards touch the sides of one right-triangle path.
No rush. Try an idea and see.