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:

$c=3.67\ cm$

Step-by-step explanation:

we know that

Applying the law of sines

$\frac{b}{sin(B)}=\frac{c}{sin(C)}$

in this problem we have

$b=3\ cm, B=45\°, C=60\°$

substitute and solve for c

$\frac{3}{sin(45\°)}=\frac{c}{sin(60\°)}$

$c=sin(60\°)\frac{3}{sin(45\°)}$

$c=3.67\ cm$

Answer 2

Answer is 3.67 centimeters