Question

Question 2Solve for FD. Assume all segments that appear to be tangent are tangent.115F 3x - 512D8Ex =FD =

Answer 1

Referring to the Segment Lengths in Circles, given the figure below:

`ab=cd`

Now, applying this to our problem,

`3x-5(12)=15(8)`
`3x-5=(15(8))/(12)`
`3x-5=10`
`3x=10+5`
`x=(15)/(3)`
`x=5`

Now, given this, we will now be able to solve for the length of FD.

`FD=3x-5+12`
`=3(5)-5+12`
`=15-5+12`
`=10+12_{}`
`FD=22`

Therefore, FD is equal to 22 units.