Knaph

Triangles

A triangle is a polygon with three sides. By its sides it is equilateral (all three equal), isosceles (two equal) or scalene (none equal); by its angles it can be right-angled, have one obtuse angle, or have all acute angles. Three sides fit together in only one way, so a triangle can't wobble - that is why frames and bridges are built from triangles. Its three angles always add up to 180°.

Depth 1 · Foundation

You can sort triangles by their sides (equilateral, isosceles, scalene) and by their angles, read the marks that show equal sides, and explain why a triangle frame is stiff.

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Depths of understanding

  1. 1

    Foundation

    You can sort triangles by their sides (equilateral, isosceles, scalene) and by their angles, read the marks that show equal sides, and explain why a triangle frame is stiff.

  2. 2

    Deeper

    You know the angles of every triangle add up to 180°, can show it by tearing off the corners, find a missing angle, and explain why a triangle has at most one right angle.

Your path here

What's still between you and Triangles, depth 1, in the order you can learn it.

  1. 1MeasurementDepth 1 · Foundation · Measurement
  2. 2UnitsDepth 1 · Foundation · Measurement
  3. 3LengthDepth 1 · Foundation · Measurement
  4. 4Points and linesDepth 1 · Foundation · Geometry
  5. 5AnglesDepth 1 · Foundation · Geometry
  6. 6PolygonsDepth 1 · Foundation · Geometry
  7. 7TrianglesDepth 1 · Foundation · Geometry

Where it fits

Makes these deeper

Once you know Triangles, come back to these — they'll mean more.