Question

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

Answer 1

Answer:

∠C = 37° ,

AB = 26.54 cm ,

BC= 33.27 cm

Step-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° = $\frac{AC}{AB}$

    Or, AB =  $\frac{20}{tan 37°}$

    So, AB = 26.54 cm

Again, Sin 37° = $\frac{AC}{BC}$

       So, BC = $\frac{20}{sin 37°}$

       Or, BC = $\frac{20}{0.601}$

        ∴   BC= 33.27 cm

Hence ∠C = 37° , AB = 26.54 cm , BC= 33.27 cm       Answer