Area of a triangle – probing deeper

A short task on finding the area of 3 triangles.  

This is not a rich task, unless used richly.  Follow up questioning is key. 

Suggestions:

  • What do you notice about the answers for the second and third triangle?
  • How do those answers compare to the original triangle?
  • Can you create another triangle with the same area as the first triangle?
  • Can you create another triangle with the same area as the second and third triangle?
  • Can you predict the area of a triangle with base 60cm and height 96cm?  Calculate this.  Were you correct? 
  • Can you create your own set of three triangles which have the same relationship as show above?
  • Can you create a set of three triangles where the original triangle has a base x and a height y?   (Can we generalise?)
Credit:  @chrismcgrane84

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