Crater Lake in Oregon is a roughly circular lake. The lake basin formed about 7000 years ago after an immense volcanic explosion. Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are in a coordinate plane at H(4, 1), G(2, 3), and C(5, 2). If you graph the three given points and connect them with a straight edge to form a triangle, how can you find the coordinates of the center of the lake?

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