Find Length of Segment EG Given EF=18 and FG=6 - Math Solver AI

$Math Problem$

Mathematics Grade 7 (Junior High School)

Question Content

In the figure, EF = 18 and FG = 6. Find the length of EG.

Correct Answer

24

Detailed Solution Steps

1
Step 1: Recognize that points E, F, and G are collinear (implied by the segment notation and typical figure for this type of problem), so EG is the sum of EF and FG.
2
Step 2: Substitute the given values into the addition formula: EG = EF + FG = 18 + 6 = 24.

Knowledge Points Involved

1

Collinear Segment Addition Postulate

If three points A, B, C are collinear and B lies between A and C, then the length of segment AC is equal to the sum of the lengths of AB and BC (AC = AB + BC). This postulate is used to find the total length of a combined segment from its smaller sub-segments.

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