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This is my third year teaching Geometry and every year, students have a hard time with special right triangles. Last year, I had a student ask me, "Mrs. Newell, why is the hypotenuse in a 45-45-90 triangle always √2 times longer than the legs? Why isn't it only 2 times the leg, since 45 is half of 90?" This question made me reflect on my teaching and it made me realize that I was not teaching the "why" in special right triangles. So, I had students discover the rules for 45-45-90 and…