Crater lake oregon is a roughly circular lake. the lake basin formed about 7000 years ago when the top of a volcano exploded in an immense explosion. hillman peak, garfield peak, and cloudcap are three mountain peaks on the rim of the lake. the peaks are located in a coordinate plane at h(-4,1), g(-2,-3), and c(5,-2). find the coordinates of the center of the lake.

The coordinates of the center of the lake are .

Step-by-step explanation:

It is given that Hillman Peak, Garfield Peak, and Cloudcap are three mountain peaks on the rim of the lake. The peaks are located in a coordinate plane at H(-4,1), G(-2,-3), and C(5,-2).

If we joint these points, then we get a triangle and the center of a triangle is known as centroid.

The formula for centroid of a triangle is

The centroid of the triangle H(-4,1), G(-2,-3), and C(5,-2) is

Therefore the coordinates of the center of the lake are .

answer:

step-by-step explanation:

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