Please help me with Geometry Question!!!

Secant ZW intersects secant ZW at point Z. Find the length of TW. Round to the nearest hundreths place(if necessary)

http://media.education2020.com/evresources/2092481_c2320d8d-be8d-42d5-b4ad-820cb0e1af50.png

Question

Please help me with Geometry Question!!!

Secant ZW intersects secant ZW at point Z. Find the length of TW. Round to the nearest hundreths place(if necessary)

http://media.education2020.com/evresources/2092481_c2320d8d-be8d-42d5-b4ad-820cb0e1af50.png

epoweritheta · Answer

use the tangent secant theorem , 
8(8+x+2)=x(x+3x) 
8(10+x)=3x^2 
x=-4,20/3  
since x>0 , x=20/3=6.67(rounded)

epoweritheta · Answer

https://proofwiki.org/wiki/Tangent_Secant_Theorem see for proof of the theorem