Question

If you have a right triangle 30,60,90 degree angles and you have the smallest size (width) to be 4 how do I solve for x (the length of the triangle)?

Answer 1

I am not sure about my interpretation of the question. I got `19` for the sum of the three dimensions (the length of the triangle?) and respectively `8` and `7` for the two missing dimensions.

Explanation:

I see this triangle:

Using trigonometry you get that:
`4=c*sin(30°)=c*1/2`
so: `c=8`
and:
`b=c*cos(30°)=8*sqrt(3)/2=7` (it should be `6.93` but I rounded a bit!)
so that `x=4+b+c=19`