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

Question

3 years ago

12

is 46.7degrees Angle C is 48 degrees angle B is 85.3 degrees

1 answer:

Cloud [144] · Answer 1 · 2022-04-29T11:34:38+03:00

Answer:

b = 60.26

Step-by-step 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