Math Problem Statement

What is the total length of line segment EF if EG is 2.5 inches and GF is 2.8 inches?

Solution

The image shows a line segment with three labeled points: EE, GG, and FF. The distances between the points are given as:

  • EG=2.5in.EG = 2.5 \, \text{in.}
  • GF=2.8in.GF = 2.8 \, \text{in.}

To find the total length of line segment EFEF, we can simply add the two distances:

EF=EG+GF=2.5in.+2.8in.=5.3in.EF = EG + GF = 2.5 \, \text{in.} + 2.8 \, \text{in.} = 5.3 \, \text{in.}

Thus, the total length of line segment EFEF is 5.3 inches.

Would you like further details on this or have any questions?

Here are five related questions:

  1. What is the length of GFGF if the total length of EFEF is 7 inches?
  2. How would the length change if EGEG were reduced by 1 inch?
  3. How can you calculate the midpoint of EFEF based on these distances?
  4. What formula could you use to find the distance between two points on a coordinate plane?
  5. How would the calculation change if the distances were in centimeters instead of inches?

Tip: When working with line segments, always ensure units are consistent before adding or subtracting distances!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Line Segments
Addition of Lengths

Formulas

EF = EG + GF

Theorems

Segment Addition Postulate

Suitable Grade Level

Grades 6-8