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Prove that, The areas of two triangles with the same height are in proportion to their corresponding bases. To prove this theorem start as follows: Draw two triangles, give the names of all point - Geometry Mathematics 2

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Question

Prove that, The areas of two triangles with the same height are in proportion to their corresponding bases. To prove this theorem start as follows:

  1. Draw two triangles, give the names of all points, and show heights.
  2. Write 'Given' and 'To prove' from the figure drawn.
Diagram

Solution

i. The triangles are as follows:

ii. Given: AP = DQ

To prove: `(A(ΔABC))/(A(ΔDEF)) = (BC)/(EF)`

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