3. In the diagram shown, midpoints F and G are located with segments CG and DF intersecting at H. If CH =10 then which of the following is the length of CG? с (1) 10 (3) 15 H F (2) 12 (4) 20 E

The midpoint given illustrates that the length of the segment CG will be C. 15.
It should be noted that in geometry, the midpoint simply means the middle point of a line segment.
In this case, from the diagram given, midpoints F and G are located with segments CG and DF intersecting at H and CH =10.
Therefore, the length of CG will be:
= 10 + (1/2 × 10)
= 10 + 5
= 15
In conclusion, the length of CG is 15.
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