The area of the triangle shown is represented by [tex]A = \sqrt{ s(s - 14) (s -12) (s - 6)}[/tex], where s is equal to half the perimeter. What is the height h of the triangle? Round your answer to the nearest hundredth.

Answer:
h= 5.11 ft (nearest hundredth)
Step-by-step explanation:
Please see attached pictures for full solution.