Find a triangle side

[ksardas21]

Find AB with the easiest way possible

 

[Deleted member 4993]

View attachment 26132
Find AB with the easiest way possible

Hint: Apply laws of sines for triangles.

Please show us what you have tried and exactly where you are stuck.

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Please share your work/thoughts about this problem.

 

[ksardas21]

I tried
but I could find the answer...

 

[ksardas21]

Thank you, I forgot about Sinus and triangle theorem and now I got the answer =

 

[Dr.Peterson]

View attachment 26132
Find AB with the easiest way possible

I can't promise it's the easiest way, but I just solved it in my head by noticing the special angles and imagining the perpendicular from B to AM.