The points A(2, 6), B(5, 7) and C(8, 2) lie on a circle. a. Show that AC

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The points A(2, 6), B(5, 7) and C(8, −2) lie on a circle.

a. Show that AC is a diameter of the circle.

b. Write down an equation for the circle.

c. Find the area of the triangle ABC.

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