Let \(\overline{TU}\) and \(\overline{VW}\) be chords of a circle, which intersect at S, as shown. If ST = 3, TU = 15, and VW = 3, then find SW.

I have found the answer 6 before but that was wrong.

thx in advance

Guest Jun 29, 2020

#1**0 **

by the circle secant rule, SW would be 9 because

ST(SU)=SV(SW)

3(18)=SV(3+SV)

SV= 6 or -9, -9 being the extraneous solution.

bunnybeer Jun 29, 2020