
Doug C. answered 03/28/24
Math Tutor with Reputation to make difficult concepts understandable
The side opposite angle Q is q.
So you can start with:
q2 = r2 + s2 -2rscosQ
2rscosQ = r2 + s2 - q2
cosQ = (r2 + s2 - q2)/2rs
Q = cos-1[(r2 + s2 - q2) / 2rs]
Q = cos-1 [(1.72 + 9.42 - 92)/ 2(1.7)(9.4)]
Check it out at this location:
desmos.com/calculator/pnaxeuz0pr
The above uses ABC instead QRS.