Question

Find Segment KT Fan and medal T.T

Answer 1

And please show me how you did it! I'm confused with this one :(

Answer 2

it looks like you can use the Intersecting Secants Theorem
http://mathopenref.com/secantsintersecting.html

Answer 3

\[ LM \cdot LM = LK \cdot LT \]

Answer 4

Alright. 10x10=7xLT?
100=7x14.2857142857
But how do I find KT from that?

Answer 5

Is kt just half of LT?

Answer 6

I would write LT= LK+ KT = 7+x (x is KT, but easier to type)

Answer 7

Makes sense. so, is KT, or x, 7.2857142857?

Answer 8

so you have
10*10 = 7*(7+x)

Answer 9

now it is algebra. do you know how to "solve for x" ?

Answer 10

OH! Alright! Yeah, just a sec.

Answer 11

7(7+x) = 100
49 + 7x= 100
7x = 100 - 49
7x = 51

Answer 12

x= 51/7

Answer 13

Alright! x=51/7.
So, X=7.28571428571

Answer 14

yes