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Triangle medians A triangular region has a base that
Chapter 14, Problem 64AE(choose chapter or problem)
Triangle medians A triangular region has a base that connects the vertices (0, 0) and (b, 0), and a third vertex at (a, h), where a > 0, b > 0.and h > 0.
a. Show that the centroid of the triangle is \(\left(\frac{a+b}{3}, \frac{h}{3}\right)\)
b. Recall that the three medians of a triangle extend from each vertex to the midpoint of the opposite side. Knowing that the medians of a triangle intersect in a point M and that each median bisects the triangle. conclude that the centroid of the triangle is M.
Questions & Answers
QUESTION:
Triangle medians A triangular region has a base that connects the vertices (0, 0) and (b, 0), and a third vertex at (a, h), where a > 0, b > 0.and h > 0.
a. Show that the centroid of the triangle is \(\left(\frac{a+b}{3}, \frac{h}{3}\right)\)
b. Recall that the three medians of a triangle extend from each vertex to the midpoint of the opposite side. Knowing that the medians of a triangle intersect in a point M and that each median bisects the triangle. conclude that the centroid of the triangle is M.
ANSWER: