Respuesta :

Answer:

  • 3√2/2 in or 2.12 in

Step-by-step explanation:

  • CD is angle bisector of angle ACB:
  • ∠BCD = ∠ACD = 90°/2 = 45°
  • ∠CBD = 45° as ∠CDB = 90°
  • CD = BD as triangle CDB is isosceles right triangle
  • BC = CD√2 as per property of 45° right triangle
  • CD = BC/√2 = 3/√2 = 3√2/2 = 2.12 in
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