Question

In the triangle below, b = _____. If necessary, round your answer to two decimal places. Triangle ABC BC 44(a) BA c AC b Angle A is 46.7degrees Angle C is 48 degrees angle B is 85.3 degrees

Answer 1

b = 60.26

Explanation:

a p e x

Answer 2

b = 60.26

Explanation:

To comfortably solve for b, we employ the SINE RULE

SINE RULE:

sinA/a = sinB/b = sinC/c

Where a, b and c are the sides (length) of the triangle

Where A, B , and C are the ANGLES of the triangle.

Comparing angles to resolve for b, we have:

sinA/ a = sinB/b

sin46.7 / 44 = sin85.3 / b

Cross Multiply to solve for b, we have:

b * sin46.7 = 44 * sin85.3

b * 0.728 = 44 * 0.997

b = 43.868 / 0.728

b = 60.258

b = 60.26