In the figure below, segment QR is tangent to circle O and segment OS is parallel to segment QR. If a radius of O measures 12 units and angle R measures 45 degrees, which is the length of QR?

Question

geometry_hater · Answer

WTH is this!?!?!?!?

anonymous · Answer

sqrt(12^2+12^2)=12sqrt(2)

geometry_hater · Answer

i dont get it

anonymous · Answer

triangle qrs is equilateral triangle because all angles are 45.
given r is 45

geometry_hater · Answer

ok but what about that square root of 12 nonsense.

anonymous · Answer

thats pythogoras theorm to find length of qs which is equal to qr

anonymous · Answer

get it?

geometry_hater · Answer

i guess not like it matter in the future i mean am i REALLY gonna need this for my future

anonymous · Answer

qr=qs=sqrt(oq^2+os^2)

anonymous · Answer

oq-os=12(radius)

anonymous · Answer

oq=os=radius=12

geometry_hater · Answer

ok im done thanks for the help

anonymous · Answer

i am lazy to type all steps so i just write final step or final 2 steps

anonymous · Answer

atleas i would like to know if you understood the solution

geometry_hater · Answer

hmm not all the way sorry but my attention span turns to crap when it comes to math but i did learn some things

anonymous · Answer

common concepts for all you geom questions 
1.  parallel line principles 
2. sum of angles 180