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8_murik_8 [283]
4 years ago
6

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

Mathematics
1 answer:
nexus9112 [7]4 years ago
7 0

Answer:

  • <u><em>x = 2.4</em></u>

Explanation:

<u>Description of triangle EFD</u>:

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

<u>Description of triangle EDG</u>:

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

<u>Similarity</u>:

  • Triangle EFD and triangle EGD are similar.

Then, since corresponding parts of similar triangles are proportional:

  • x / 3 = 4 / 5

<u>Clear x</u>:

  • x = 3 × 4 / 5 = 2.4
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