Respuesta :

mhanifa

Answer:

  • BC = 12

Step-by-step explanation:

BD is the altitude, it breaks ΔABC into two similar triangles:

  • ΔABD ~ ΔBCD

The ratios of corresponding sides:

  • AD/BD = BD/DC ⇒ BD² = AD*DC ⇒ BD² = (24 - 6)*6 ⇒ BD² = 108

On the other hand:

  • BC² = BD² + DC² ⇒ BC² = 108 + 6² = 144
  • BC = √144
  • BC = 12

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