Question

what is rs? q 99 r 81 p 81 s

Explanation:

Step1: Identify congruent triangles

Triangles $\triangle QPR$ and $\triangle SPR$ are congruent by the Hypotenuse - Leg (HL) congruence theorem. Since the line is a perpendicular bisector, $\angle QPR=\angle SPR = 90^{\circ}$, $PR$ is common, and $QP = SP=81$.

Step2: Use congruence property

Corresponding parts of congruent triangles are equal. So, $QR = RS$.

Step3: Find the value of RS

Given $QR = 99$, then $RS=99$.

Answer:

99