Right triangles today….legs….hypotenuse….students easily defined and identified them in my examples. I can’t quite remember what prompted me to mention a right triangle where both legs were the same length. It wasn’t my intention to specifically discuss isosceles right triangles. We didn’t, however, get to the correct vocabulary/name for such a triangle once I was surprised by two student comments, prompting the pictured questions and an investigation for homework tonight. If I draw a right triangle so that the legs are the same length……

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