Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

In △DEF, what is the length of segment DF?

Right triangle DEF with DE measuring 27, angle F measures 60 degrees and angle E measure 90 degrees.

54
18 radical 3
27 radical 2
9


In DEF What Is The Length Of Segment DF Right Triangle DEF With DE Measuring 27 Angle F Measures 60 Degrees And Angle E Measure 90 Degrees 54 18 Radical 3 27 Ra class=

Sagot :

Answer:

DF = 18√3

Step-by-step explanation:

Considering the angle 60⁰, opposite side = DE = 27, hypotenuse = DF = ?

Using Trigonometric ratio,

sin 60⁰ = 27 / DF

DF sin 60⁰ = 27

DF × √3 / 2 = 27 Divide both sides by √3 / 2

DF = 27 × 2 / √3

DF = 54 / √3 By Rationalizing

DF = 54 / √3 × √3 / √3

DF = 54√3 / 3

DF = 18√3