Three Triangles with Area 24
A student's attempted triangles talk back: one is unsure of its area, the other points out its sides (6, 4, 2) violate the triangle inequality.
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Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2015-01-01-three-triangles-with-area-24/ (CC BY-NC 4.0)Transcript
[Prompt] "Can you draw three triangles with area 24cm²?"
Triangle (sides 4, 12): "Wait… do I have area 24?"
Triangle (sides 6, 4, 2): "How should I know? I'm not even possible!"
[Student looks on doubtfully]