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

User Feetwet
by
5.2k points

1 Answer

5 votes

Answer:

∠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

User Jesse Taber
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6.8k points