Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

In the diagram, find the segment length of FD.(Assume FG is tangent.) G X +9 D 18 E 12

In The Diagram Find The Segment Length Of FDAssume FG Is Tangent G X 9 D 18 E 12 class=

Sagot :

ANSWER

FD = 27

EXPLANATION

By the tangent-secant theorem:

[tex]FG^2=EF\cdot FD[/tex]

So we have:

[tex]\begin{gathered} 18^2=12\cdot FD \\ FD=\frac{18^2}{12} \\ FD=27 \end{gathered}[/tex]