In triangle abc, ac =12, the measure of angle a = 30, and the measure of angle b = 45. find the area of this triangle. (hint: draw a picture and include the altitude from vertex c to the side ab.)
(a) 18√3
(b) 54√ 3
(c) 18(1 + √ 3)
(d) 54(1 + √ 3)
(e) 12(1 + √ 3)
(f) none of the above

(C) 18(1 + √ 3)

Step-by-step explanation:

Given,

In triangle ABC,

AC = 12  unit,

m∠A = 30°,

m∠B = 45°,

Let D∈AB such that CD ⊥ AB,

In triangle ADC,

,

By the pythagorean theorem,

Now, in triangle CDB,

Hence, the area of the triangle ABC =

Option 'C' is correct.

could you give more information?

8 apples are left.

step-by-step explanation:

10-2=8

10 apples

take 2

now u have 8