Point X

Question

lies in the exterior of circle C.

Angle CYX
and angle CZX
are right angles.


The diagram as described in the text, where segment X Y equals 85 b plus 83 and segment X Z equals 91 b minus 283.
.


What is the length of XY¯¯¯¯¯¯¯¯?

Answer 1

The length of XY can be calculated using the distance formula. Given that XY = 85b + 83, we can set up the equation as follows:

XY = √((X - Y)^2 + (Y - Y)^2)
XY = √((0 - 85b)^2 + (0 - 83)^2)
XY = √(7225b^2 + 6889)
XY = √(7225b^2 + 6889)

Therefore, the length of XY is √(7225b^2 + 6889).