The centroid is (6, 1). Find the third vertex of the triangle. (9, 3) 16) For question #1, connect the midpoints of each side of the triangle to form a smaller triangle within the original triangle. Find the coordinates of the centroid of the smaller triangle. What happened and why? Centroid stays the same. The medians don't change.-2-

Math 140. Solutions to homework problems. Homework 1. Due by Tuesday, 01.25.05 1. Let Dd be the family of domains in the Euclidean plane bounded by the smooth curves ∂Dd equidistant to a bounded convex domain D0. How does the perimeter Length(∂Dd) depend on the distance d between ∂Dd and D0? Solution 1. Use the result from class: Area(Dd ...

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