Circle Tangent Lengths

Geometry Level 5

Given circle \(\Gamma\), point \(A\) is chosen outside of \(\Gamma\). Tangents \(AB\) and \(AC\) to \(\Gamma\) are drawn, such that \(B\) and \(C\) lie on the circumference of \(\Gamma\). \(K\) is a point on the circumference of \(\Gamma\) contained within \(ABC\). Let \(D, E\) and \(F\) be the foot of the perpendiculars from \(K\) to \(BC, AC\) and \(AB \), respectively. If \(KF = 20 \) and \(KE = 28 \), what is \(KD^2\)?

×

Problem Loading...

Note Loading...

Set Loading...