Line df is an altitude of triangle edg. find the value of x. round to the nearest tenth.

x = 2.4

Explanation:

Description of triangle EFD:

Angle EFD: right angle  (90º)x: adjacent leg to angle EDF3: hypotenuse of triangle EFD

Description of triangle EDG:

Angle EDG: right angle (90º)4 adjacent leg to angle EGD5: 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