In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box. in. An acute triangle A B C is drawn. E is the midpoint of side A C. Segment A E and segment C E are labeled with double tick mark. F is the midpoint of side A B. Segment A F and segment F B are labeled with single tick mark. D is the midpoint of side B C. Segment B D and segment C D are labeled with triple tick mark. Line segment A D and C F and B F are medians of the triangle. Medians intersect with each other at an interior point labeled as G.

In any triangle, medians are concurrent and their common intersection point divides each median in proportion 2:1, counting the median parts from the vertex.

So, if G F = 17 cm, then AG = 34 cm, and the entire median C F = 17 +34 = 51 cm

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hmustafa1988 hmustafa1988 · Answer 2 · 2020-02-12T12:37:50+01:00

Answer:

34 in.

Step-by-step explanation:

It is a concept in trigonometry, that centroid of a triangle always divide median in the ratio of 2:1. Centroid is defined as a point at which the three medians of three sides of a triangle meet.

Since, it is a well known property of a centroid of a triangle. Now consider the median FGC as a line segment. the point G is distributing it in the ratio of

2:1

Now GC:GF = 2:1

Since, GF = 17 inches

GC = (17 x 2)

GC = 34 inches