XYZ Triangle

Geometry Level pending

Given \(\triangle ABC\) with circumcircle \(\Gamma\), let \(X\) be the midpoint of arc \(BAC\) and let \(Y, Z\) be the tangency points of the \(B, C\) excircle with \(AC, AB\), respectively. If \(XY = 7, YZ = 8\) find \([XYZ]\). The answer can be expressed as \(p\sqrt{q}\) where \(p,q\) are positive integers and \(q\) is square free. As your answer, submit \(p+q\).

×

Problem Loading...

Note Loading...

Set Loading...