Math Problem Statement

Find FH. The image shows a straight line segment with three points F, G, and H. The distance between points F and G is 8 units, and the distance between points G and H is 14 units.

Solution

The image shows a straight line segment with three points FF, GG, and HH. The distance between points FF and GG is given as 8 units, and the distance between points GG and HH is 14 units.

To find the total distance FHFH, you simply add the distances FGFG and GHGH:

FH=FG+GH=8+14=22FH = FG + GH = 8 + 14 = 22

Thus, the distance FH=22FH = 22.

Would you like any additional details or have any further questions?

Here are 5 related questions you might find useful:

  1. What is the definition of a line segment?
  2. How can we calculate the distance between two points in a coordinate plane?
  3. Can you find the midpoint between two points, such as FF and HH?
  4. How do we calculate the length of a diagonal in a geometric figure?
  5. What is the relationship between line segments and vectors?

Tip: Always double-check your geometry calculations by verifying that you account for all segments when summing distances.

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Math Problem Analysis

Mathematical Concepts

Geometry
Line Segments

Formulas

FH = FG + GH

Theorems

Line Segment Addition Postulate

Suitable Grade Level

Grades 5-7