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Hey Guys, at the risk of sounding dumb, I think I have some conceptual cognitive dissonance.
In a square if you have a diagonal it splits the square into two 45-45-90 triangles. Thus with with just the measure of one side or of the diagonal you can find the other, or the squares area, etc.
Now a diagonal in a rectangle splits the rectangle into two triangles down the middle too. Hence it should be a 45-45-90 triangle too? But then that would mean that you would have two equal sides and thus that rectangle is actually a square?
An example would be this, shouldn't angle B and D be both 45-45 and therefore it would mean its opposite sides should be equal as in AB=AD?
[/img]
In a square if you have a diagonal it splits the square into two 45-45-90 triangles. Thus with with just the measure of one side or of the diagonal you can find the other, or the squares area, etc.
Now a diagonal in a rectangle splits the rectangle into two triangles down the middle too. Hence it should be a 45-45-90 triangle too? But then that would mean that you would have two equal sides and thus that rectangle is actually a square?
An example would be this, shouldn't angle B and D be both 45-45 and therefore it would mean its opposite sides should be equal as in AB=AD?
[/img]
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