Question 1193782: Given: right △DEF with m∠F = 30° and
FE = 18
Find: DF and DE in simplest radical form and approximation.
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website! .
Given: right △DEF with m∠F = 30° and
FE = 18
Find: DF and DE in simplest radical form and approximation.
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As worded, printed, posted and presented, the problem is posed INCORRECTLY.
To be posed correctly, it must specify if FE is the leg or it is the hypotenuse.
Or, alternatively, it must say which angle is right angle.
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comment from student : Angle D is the right angle.
My response : if so, then FE is the hypotenuse, angle F is 30°, and DE is the leg opposite to angle of 30°.
In such right angled triangle, the leg opposite to the angle of 30° is half the hypotenuse.
So, DE = 18/2 = 9 units.
Leg DF is then  =  =  =  =  .
ANSWER. DE = 9; DF =  = 15.59 (rounded).
Solved.
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