Respuesta :

Edufirst

Answer:

  • x = 2.4

Explanation:

Description of triangle EFD:

  • Angle EFD: right angle  (90º)
  • x: adjacent leg to angle EDF
  • 3: hypotenuse of triangle EFD

Description of triangle EDG:

  • Angle EDG: right angle (90º)
  • 4 adjacent leg to angle EGD
  • 5: hypotenuse of triangle EDG

Similarity:

  • Triangle EFD and triangle EGD are similar.

Then, since corresponding parts of similar triangles are proportional:

  • x / 3 = 4 / 5

Clear x:

  • x = 3 × 4 / 5 = 2.4

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