the pythagorean theorem
BE the Rope Swing
Your job is to play like you’re the 6m
rope. Use the Pythagorean Theorem to
work out how far across a gap someone
could swing on you.
I get that the rope length doesn’t
change, so the sides are equal, but how
did we know that the bottom two angles
A:An isoceles triangle has two sides
equal but also two angles equal—always.
So—if you see that the sides are the same
you know the angles are the same, and the
other way around.
How did we know that the altitude
So, which triangle does the
would be vertical? altitude belong to?
A:The altitude is always perpendicular A:Both! The altitude is the shared side
to the base that it’s drawn on, so if that of the two identical (congruent) triangles it
base is horizontal (as it is in this case), creates in this case. So, it belongs to both
then the altitude must be vertical. of them.
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