The points P(2, 2), Q(2 + 3, 5) and R(2 3 , 5) lie on the

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The points P(2, 2), Q(2 + √3, 5) and R(2 − √3 , 5) lie on the circle (x − 2)2 + ( y − 4)2 = r2.

a. Find the value of r.

b. Show that △PQR is equilateral.

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