Answer:
about 18 cm^2
Explanation:
The formula for the area of a right triangle is A = ab/2 where a is the side opposite angle A and b is the side opposite angle B. We need to figure out what a and b are.
Use sine relationship to figure out b:
(Note: c is the side opposite angle C)
sin75 = b/c = b/12cm
b = 12 cm x sin 75 = 11.59 cm
Use cosine relationship to figure out a:
cos75 = a/c = a/12cm
a = 12 cm x cos 75 = 3.106 cm
Plug into Area formula:
A = (11.59 cm x 3.106 cm) / 2 = 18.0 cm^2