Question

Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 56°, a = 16, b = 17 I know B=61.7 OR 118.3 and C = 62.3 OR 5.7
Pls tell me what is small c

Answer 1

check the picture below.

Answer 2

Answer:

Value of small c = 17.08

Step-by-step explanation:

We have sine rule

   $\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}$

Given that A = 56°, a = 16, b = 17

Substituting

    $\frac{16}{sin56}=\frac{17}{sinB}=\frac{c}{sinC}\\\\sinB=0.88\\\\B=61.75^0\\\\C=180-(61.75+56)=62.25^0\\\\c=\frac{16}{sin56}\times sin(62.25)=17.08$

So value of small c = 17.08