Question

Given a triangle with a =14 A = 41 and B = 34, what is the length of c? Round to the nearest tenth

Answer 1

your answer is 20.6

Answer 2

20.6°

Explanation:

Given in a triangle

a = 14 ∠A = 41° and ∠B = 34°

Then we have to find the measure of side c

Since sum of all angles of a triangle is 180°

So ∠A + ∠B + ∠C = 180°

41° + 34° + ∠C = 180°

75° + ∠C = 180°

∠C = 180 - 75

= 105°

Now from sine rule,

`(a)/(SinA)= (c)/(SinC)`

`(14)/(Sin(41))= (c)/(Sin(105))`

`c=(14* Sin(105))/(Sin(41))`

`c=(14* 0.9659)/(0.6561)`

= 20.61°

≈ 20.6°