@victorioussheep Yes the 45-45-90 triangle is very important too!
The biggest takeaway from these triangle is that the RATIOS are always the same. In every 30-60-90 triangle, the ratio of the hypotenuse to the short leg (the side opposite 30 degree) is ALWAYS 2:1.
These are all 30-60-90 triangles! The greatest thing is that you know that whenever you see 30-60-90, the ratios are \(1:\sqrt{3}:2\), but the reverse is also true! Whenever you see that the ratio is \(1:\sqrt{3}:2\), it's a 30-60-90 triangle!