Question

Eddie solved for the length of side c in △CBD using the Law of Cosines formula,

c^2 = a^2 + b^2 - abcosC

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the other two side lengths and the measure of their included angle?

Answer 1

b^2 = a^2 + c^2 - 2ac sin B

is the answer

Answer 2

b^2= a^2+ c^2 -2acsin B

Explanation:

In ΔABC, It is given that AB= c, AC=b and CB= a,

In order to find side length of b, she can use the Law of sines i.e

b^2= a^2+c^2-2ac sin B

by substituting the values of side lengths of a and c and sin angle B.