Respuesta :

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3[tex]\sqrt{2}[/tex] )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

Thus RQ = RS = 3