For some reason, I cannot find the list of triangle side ratios on Google…
I know that 30-60-90 triangles have a ratio: 3-4-5
I would really appreciate it if you can let me know of others for the 30-60-90 and 60-60-60 triangles! Also, would it be correct to call them triangle side ratios?
In addition, I’ve been feeling that I should memorize all of them. Is this actually necessary?
60-60-60 triangles is an equilateral triangle, so all sides are equal.
Not all 30-60-90 triangles have side ratio of 3-4-5, it is one of the many pythagorean triplets. You dont have to memorize them, but if you do it does save some time.
You can find some more over here : https://www.mathsisfun.com/pythagorean_triples.html
30-60-90 triangles DO NOT have a 3-4-5 ratio.
They have a (1:\sqrt3:2) ratio.
Equilateral triangles have a (1:1:1) ratio
Right Isosceles triangles have (1:1:\sqrt2) ratio