roberthagemanjr
roberthagemanjr roberthagemanjr
  • 23-12-2019
  • Mathematics
contestada

Line DF is an altitude of triangle EDG. Find the value of x. Round to the nearest tenth.

Line DF is an altitude of triangle EDG Find the value of x Round to the nearest tenth class=

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Edufirst
Edufirst Edufirst
  • 29-12-2019

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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