Calculate the side lengths a and b to two decimal places.

Answer:
Below in bold.
Step-by-step explanation:
m < C = 180 - 43 - 115 = 22 degrees.
Using the Sine Rule:
6 / sin 22 = a / sin 43
a sin 22 = 6 sin 43
a = 6 sin 43 / sin 22
a = 10.92 to 2 DP's.
Applying the same rule to calculate b:
6 / sin 22 = b / sin 115
b = 6 sin 115 / sin 22
b = 14.52 to 2 DP's.