Question

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

Answer 1

∠C = 37° ,

AB = 26.54 cm ,

BC= 33.27 cm

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° =
`(AC)/(AB)`

Or, AB =
`(20)/(tan 37°)`

So, AB = 26.54 cm

Again, Sin 37° =
`(AC)/(BC)`

So, BC =
`(20)/(sin 37°)`

Or, BC =
`(20)/(0.601)`

∴ BC= 33.27 cm

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