Solve triangle ABC given that A = 56°, B = 57°, and b = 9.00. Round the length of the sides to the nearest hundredth

Part 1)

Part 2)

Part 3)

Step-by-step explanation:

step 1

Find the measure of angle C

Remember that the sum of the interior angles of any triangle must be equal to 180 degrees

so

substitute the given values

step 2

Find the length side a

Applying the law of sines

substitute the given values

solve for a

step 3

Find the length side c

Applying the law of sines

substitute the given values

solve for c