1. in △abc, ge=27 in. what is the length of be¯¯¯¯¯? 2. in △jkl, lo=104 cm . what is the length of no¯¯¯¯¯¯?

In triangle ABC, where D is the midpoint of side BC, E is the midpoint of side AC, and F is the midpoint of side AB. If you were to draw a line from angle A to point D, a line from angle B to point E, and angle C to point F, those lines all intersect at point G, in the middle of the triangle. Segment GE equals 27 inches. The medians divide each other at the centroid with a ratio of 2 to 1. So BE = BG + 2GE, so BE = 27 +2(27), so BE = 81 inches. Using the same rationale, in triangle JKL, where M is the midpoint of side KL, N is the midpoint of side JL, and O is the midpoint of JK, P is in the center. We can see that all the different triangles are equilateral triangles. Therefore, the length of segment NO is 104 cm as well.

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