Answer:
AC = 29.96cm
Step-by-step explanation:
The sum of the angles inside a triangle is equal to 180 degrees. We are told that angle a is 57°, and that angle B is 73°. This tells us that angle C is (180 - 57 - 73)°, or 50°.
We are also given the length of side AB 24cm, with that we can use the sine rule to calculate the length of side AC:
sin (B) / |AC| = sin (C) / |AB|
sine (73°) / |AC| = sin(50°) / 24cm
AC = 24 cm • sin(73°) / sin(50°)
AC = 29.96 cm
