Two tangents XY and XZ are drawn from a point X to a circle with center W.If the length of XZ is 156 and the length YZ is 120,find the radius of the circle.

Answer 1

I assume you know the properties of tangents with circles.
Join XW and YZ, label their intersection point V
XW bisects angle X, and XW right-bisects YZ
Label angle WXZ as Ø
sinØ = 60/158 = 30/7
Ø = sin^-1 (30/79)

Join WZ, where WZ is the radius and we have another right angle at Z this time
tanØ = WZ/156
WZ =156 tan Ø
= 156 tan (sin^-1 (30/79) )
= appr 64.04

check my calculations