This doesn't always work, but I have them fold a square in half to show that a 45-45-90 is half of a square (and then they can label the sides x, x, x*sqrt(2)), and then fold an equilateral triangle in half so they can see the relationships among the sides (and label everything).
Another way that works for some is to use similar triangles( 1-1-rt2 and 1-2-rt3) for the ones that like solving proportions. A few teachers skip it altogether and use just trig.
2 comments:
This doesn't always work, but I have them fold a square in half to show that a 45-45-90 is half of a square (and then they can label the sides x, x, x*sqrt(2)), and then fold an equilateral triangle in half so they can see the relationships among the sides (and label everything).
Another way that works for some is to use similar triangles( 1-1-rt2 and 1-2-rt3) for the ones that like solving proportions. A few teachers skip it altogether and use just trig.
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