Question

Find b.

Round to the nearest tenth:
8 cm
BEC
b
b = [ ? ]cm
Law of Sines: sin A sin B
a
b
sin C
С
Enter

Answer 1

b = 6.7 cm

Explanation:

Here, we want to find the value of b

to do this, we are going to use the law of sines

And this law is that the ratio of the measure of a side and the sine of the angle facing the side is constant for all the sides of a triangle

Thus, we have it that;

a/sin A = b/sin B = c/sin C

Before we proceed, we need the measure of the last angle

That would be 189 minus the sum of the two given angles

we have this as;

180 - (82 + 55) = 43

Thus;

b/sin 43 = 8/sin 55

b = 8 sin 43/sin 55

b = 6.7 cm