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Triangle and Rectangle

A rectangle can be split along a diagonal into two equal triangles. The area of one triangle is half the area of the rectangle.

In the picture

  1. White triangular half: half the area of the rectangle.
  2. Blue triangular half: the other half of the rectangle’s area.
  3. Diagonal crease: the line that divides the rectangle into two equal halves.
  4. Bottom edge: the base of the rectangle and of each triangle.

Examples

  • A rectangular slice of bread cut corner to corner into two triangular sandwiches.
  • A rectangular garden bed divided by a diagonal path into two triangular flower beds.

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Maths, Age 12