Mon Prof Augmenté
Tiles Around a Triangle
Age 13 · Maths
A rope triangle lies on sand with a square built along each side. The two smaller squares use blue tiles, and the largest square holds the same amount of blue tile.
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Age 13: open this week
Browse Age 13
In the picture
- The right-angle corner: the meeting point of the two shorter rope sides
- A blue tile in the square along one shorter side: part of that square’s area
- A blue tile in the square along the other shorter side: part of that square’s area
- A blue tile in the square along the longest side: part of the largest square’s area
Examples
- A 3 m by 4 m rectangular garden has a 5 m diagonal path.
- A 5 m ladder reaches 4 m up a wall when its base is 3 m from the wall.
Key takeaways
- For a right triangle, leg squared plus leg squared equals hypotenuse squared.
- The two smaller square areas together match the largest square area.
Quiz: Tiles Around a Triangle (Age 13)
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In a right triangle, which equation is true?
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If the two smaller squares have areas of 9 and 16, what is the area of the largest square?
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Which statement matches the card’s main idea?
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