141k views
5 votes
1. In △ABC, GE=27 in.

What is the length of BE¯¯¯¯¯?

2. In △JKL, ​ LO=104 cm ​.



What is the length of NO¯¯¯¯¯¯?

1. In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? 2. In △JKL, ​ LO=104 cm ​. What-example-1
1. In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? 2. In △JKL, ​ LO=104 cm ​. What-example-1
1. In △ABC, GE=27 in. What is the length of BE¯¯¯¯¯? 2. In △JKL, ​ LO=104 cm ​. What-example-2
User Shane D
by
7.5k points

2 Answers

6 votes

Answer:

yes

Explanation:

the person qbove me is correct

thank you

User Bernhard Schussek
by
7.1k points
4 votes
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.
User Alaskan
by
6.7k points