Question

what is qs? qs =

Explanation:

Step1: Notice triangle properties

Since $RQ = RS = 99$ and $RP\perp QS$, by the property of isosceles - triangle (a line from the vertex of an isosceles triangle perpendicular to the base bisects the base), $QP=PS$.

Step2: Calculate $QS$

Given $QP = 59$, then $QS=QP + PS$. Since $QP = PS$, $QS=2\times QP$. So $QS = 2\times59=118$.

Answer:

$118$