MATH SOLVE

3 months ago

Q:
# In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.

Accepted Solution

A:

Each vertex is connected to the midpoint of the opposite side.

Each segment that connects a vertex to the midpoint of the opposite side is a median.

The three medians intersect at the centroid of the triangle

The centroid divides each median into two segments in a ratio of 2:1.

CG = 2GF

CG = 2(17) = 34

CF = CG + GF = 34 + 17

CF = 51

Each segment that connects a vertex to the midpoint of the opposite side is a median.

The three medians intersect at the centroid of the triangle

The centroid divides each median into two segments in a ratio of 2:1.

CG = 2GF

CG = 2(17) = 34

CF = CG + GF = 34 + 17

CF = 51