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A Tale of Three Intersecting Lines

Named by its angles

Hold a set square against each paper triangle. The set square has a square corner of exactly 90°. Some triangle corners are narrower. One may be wider.

The widest corner decides the name.

The widest corner names it

Look at the widest corner.

Three names, from the widest corner
Widest cornerNameCorners of an example
Under 90°Acute-angled60°, 60°, 60°
Exactly 90°Right-angled90°, 36.9°, 53.1°
Over 90°Obtuse-angled134.8°, 22.6°, 22.6°

An acute-angled triangle has all three corners acute.

The square corner can face any direction. A right-angled triangle need not have a flat bottom.

Open the widest corner. Watch the name change.

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This track

  1. 0 Start here
  2. 1 Three lines that cross
  3. 2 Named by its sides
  4. 3 Named by its angles
  5. 4 The three angles come to 180°
  6. 5 Two angles decide the third
  7. 6 The angle that leans out
  8. 7 Will these three close?
  9. 8 Longest side, widest corner
  10. 9 Direct road, roundabout road
  11. 10 The height from a corner
  12. 11 Two angles and the side between
  13. 12 Checkpoint: roads, altitudes and rays
  14. 13 The big picture
  15. 14 Track quiz

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