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.
Accepted Solution
A:
Answer:51 cmStep-by-step explanation:There is a well known property of medians of triangle 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