Math Problem Statement

Find the length of FH in a straight line with segments FG = 19 and GH = 7.

Solution

The diagram shows a straight line segment with points FF, GG, and HH. The distances between these points are labeled as follows:

  • FG=19FG = 19
  • GH=7GH = 7

To find the total length of FHFH, we simply add the two given distances:

FH=FG+GH=19+7=26FH = FG + GH = 19 + 7 = 26

Thus, the length of FHFH is 26 units.

Would you like further details on this solution?

Here are 5 related questions:

  1. How would the answer change if GHGH were 10 units instead of 7?
  2. What if there were additional points between FF and HH? How would you calculate the total distance?
  3. How can you apply this concept to real-world measurement problems?
  4. Can you calculate the total length if the distances between points were given in different units, like meters and centimeters?
  5. How would you approach this problem if the points formed a non-linear path?

Tip: When adding distances along a straight line, just sum up the lengths of each segment directly.

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Math Problem Analysis

Mathematical Concepts

Geometry
Line Segments

Formulas

Sum of line segments: FH = FG + GH

Theorems

Straight Line Segment Theorem

Suitable Grade Level

Grades 6-8