SOLUTION: Given: right △DEF with m∠F = 30° and FE = 18 Find: DF and DE in simplest radical form and approximation.

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.
~~~~~~~~~~~~~~~~~~~

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.

===============

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.

RELATED QUESTIONS
Given: right △DEF with m∠F = 30° and FE = 18 Find: DF and DE simplest radical... (answered by Solver92311)

Given: right △DEF with m∠F = 30° and FE = 18 Find: DF and DE △D E F is... (answered by ikleyn)

Given: right △DEF with m∠E = 2 · m∠F and EF = 14 radical 3 Find: DE and DF in (answered by josgarithmetic,MathTherapy)

Angle D is the right angle.Find the missing lengths. Give your answers in both simplest... (answered by Alan3354)

Given: right △DEF with m∠E = 2 · m∠F and EF = 14radical 3 Find: DE and DF... (answered by Boreal,MathTherapy)

Given the right △DEF, DE = 30, EF = 72 and DF = 78. Find the tan... (answered by josgarithmetic,ikleyn)

In ∆DEF, ∠D is a right angle and m∠F = 30. How long is DF if FE + DE =... (answered by Edwin McCravy)

Given: right △DEF with m∠E = 2 · m∠F and EF = 14radical 3 Find: DE and... (answered by greenestamps)

ina DEF triangle DF=16 and m (answered by Fombitz)