Respuesta :

mhanifa

Answer:

  • x = 2, y = 4.47, z = 2.24

Step-by-step explanation:

As per diagram we see similar triangles:

  • ΔADC ≅ ΔCDB

The ratio of corresponding sides:

  • AD/DC = DC/DB
  • 1/x = x/ 4
  • x² = 4
  • x = 2

Use Pythagorean to find the values of y and z:

  • z = [tex]\sqrt{1^2+2^2}[/tex] = [tex]\sqrt{5}[/tex] = 2.24
  • y = [tex]\sqrt{2^2+4^2}[/tex] = [tex]\sqrt{20}[/tex] = 4.47