Question

what is rs? rs = submit

Explanation:

Step1: Use the Angle - Bisector Theorem for Right - Angles

Since \(SQ\) is the angle bisector of \(\angle RQP\), \(SR\perp RQ\), and \(SP\perp QP\), by the Angle - Bisector Theorem (in the case of a point on an angle bisector and the perpendicular distances from the point to the sides of the angle), we know that \(RS = PS\).

Step2: Substitute the given value

We are given that \(PS = 80\).

Answer:

\(80\)