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Two ways to the area of a thin triangle

The question

WXYZ is a rectangle and ZPX is a triangle. Explain two different ways to work out the area of the shaded triangle.

Try it first, then show the answer

Answer

  • method 1:1/2 × ZP × XY
  • method 2:1/2 × ZY × XY − 1/2 × PY × XY
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