Answer:
Detail steps below
Step-by-step explanation:
a. PQ² + QR² = ((-5 - -3)² + (6 - 8)²) + ((-3 - 3)² + (8 - 2)²) = 8 + 72 = 80
PR² = (-5 - 3)² + (6 - 2)² = 80
PQ² + QR² = PR² ... PQR is right triangle
b. Circle circumscribe PQR, center of circle is the midpoint of hypotenuse
O (h,k): h=1/2(-5 + 3) = -1 k=1/2(6+2) = 4 center O (-1 , 4)
radius = 1/2 PR = 1/2*√80 = 2√5
equation: (x-h)² + (y-k)² = r² (x+1)² + (y-4)² = 20
