Q:

Given AABC. m LA= 39°MLB=104°AC= 20cmmLC=AB =CB -

Accepted Solution

A:
Answer:∠C = 37° , AB = 26.54 cm , BC= 33.27 cmStep-by-step explanation:Given that in triangle ABC ∠A = 39°                       AC = 20 cm∠B = 104°∵ sum of all the three angles of triangle = 180°So,    ∠C = 180° - ( ∠A + ∠B)          ∠C = 180° - (39° + 104°)          ∠C = 37°Now Tan 37° = [tex]\frac{AC}{AB}[/tex]     Or, AB =  [tex]\frac{20}{tan 37°}[/tex]     So, AB = 26.54 cmAgain, Sin 37° = [tex]\frac{AC}{BC}[/tex]        So, BC = [tex]\frac{20}{sin 37°}[/tex]        Or, BC = [tex]\frac{20}{0.601}[/tex]         ∴   BC= 33.27 cmHence ∠C = 37° , AB = 26.54 cm , BC= 33.27 cm       Answer