Question

In ΔABC, if the length of side b is 3 centimeters and the measures of ∠B and ∠C are 45° and 60°, respectively, what is the length of side c to two decimal places? 2.45 centimeters 3.67 centimeters 4.00 centimeters 5.45 centimeters

Answer 1

answer is 3.67 centimeters

Answer 2

`c=3.67\ cm`

Explanation:

we know that

Applying the law of sines

`(b)/(sin(B))=(c)/(sin(C))`

in this problem we have

`b=3\ cm, B=45\°, C=60\°`

substitute and solve for c

`(3)/(sin(45\°))=(c)/(sin(60\°))`

`c=sin(60\°)(3)/(sin(45\°))`

`c=3.67\ cm`