How would you solve this?
I got one of the equations to be 180 = 12y + 12x using tangent-secant theorem but I don't know what other equation to use to set up a system pls help
I got one of the equations to be 180 = 12y + 12x using tangent-secant theorem but I don't know what other equation to use to set up a system pls help
2 Answers
Explanation:
If a tangent segment and a secant segment are drawn to a circle (here larger circle) from an exterior point,
then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. Hence
i.e.
and
Further, we have two tangents from same point to smaller circle and they should be equal. Therefore
and hence
Explanation:
If a tangent segment and a secant segment are drawn to a circle (here larger circle) from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. Therefore
or
Further, for smaller circle from same external point we have two tangents and they should be equal i.e.
Hence