In the right triangle shown, \angle B = 60^\circ∠B=60
∘
angle, B, equals, 60, degrees and AB = 12AB=12A, B, equals, 12.
How long is ACACA, C?
Answer exactly, using a radical if needed.

Part 1)

Part 2)

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB  and the right angle is C

we know that

In the right triangle ABC

---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

Remember that

substitute

Problem 2

The hypotenuse is the segment BC  and the right angle is A

we know that

In the right triangle ABC

---> by TOA (opposite side divided by the adjacent side)

substitute the given values

Remember that

substitute

none of these

step-by-step explanation:

23 + 34 add up to 57 so just inform the teacher of this really stupid mistake