Respuesta :

Answer:

  • x = 7

Step-by-step explanation:

  • The altitude is parallel to the hypotenuse
  • The sides are in proportion

Solving

  • 8/(8 + 10) = 12/(12 + 3x - 6)
  • 8/18 = 12/(3x + 6)
  • 4/9 = 12/3(x + 2)
  • 4/9 = 4/(x + 2)
  • x + 2 = 9
  • x = 7