A 3-4-5 triangle is a triangle with sides of the smallest integers.
I am wondering why it forms a right triangle with 36.87° and 53.13°
Do 36.87 and 53.13 relate to π or have some kind of ratio in some ways?
Can we express 35 and 53 in some nicer forms? Or 345 just happen to form these angles which have no relationship with other areas of maths?
I understand 37 and 53 are approximations. My question is if 37 and 53 form some relationship, for example, golden ratio or something like that.
$\endgroup$ 41 Answer
$\begingroup$The only relationship to $\pi$ is that the internal angles must add up to $180^\circ$ or $\pi$ radians. Given that the right angle is $90^\circ$, the other two must add up to $90^\circ$.
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