Answer:
b = 6.7 cm
Step-by-step 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
