What is the perimeter of the triangle?
please include explanation as well

44

Step-by-step explanation:

You need a theorem to solve this problem.

Theorem:

Tangent segments drawn to a circle from a point are congruent.

Look at the point below the circle. The segment from that point to point P (length 4), and the segment from that point to point R are congruent according to the theorem above.

Do the same with the other segments. On the left side, both tangent segments have length 12. On the right side, both tangent segments have length 6.

perimeter = 4 + 4 + 12 + 12 + 6 + 6

perimeter = 44