Get RT triangle
Shaping OBN
Orignal Brand Manufactuce
OBN in RT triangle
∵
∠a=30
∴∠NBO=60
∵∠
POQ is a right angle.
∴∠ 1=90-30=60
In the RT triangle, OMB ∠2=90-60=30.
NOB and MOB in a triangle
∠a=∠2
OB=BO
∠ 1=NBO
∴ Triangle NOB≌ Triangle Mob (ASA)
∴NB=OC
No =BC
∠∠ABC is a right angle ∠2=30.
∴∠3+∠4=60
And < ∠NBM = 90°.
∴∠3+∠5=60
∴∠4=∠5
∠AMB=∠BMC=90。
Triangle
Triangle CMB
∴BN/BM=AB/BC means BN/NO=AB/BC.
√3/6=AB/BC
That's all. I hope it helps you.