Math Problem Statement
Find FH in the line segment where FG = 53 units and HG = 40 units.
Solution
In the image, we are asked to find the length of segment . The line segment is broken into two parts: and . We are given the following information:
- The length of is 53 units.
- The length of is 40 units.
Using this information, we can set up the equation: Substitute the given values into the equation:
Now, solve for :
Thus, the length of segment is 13 units.
Do you want more details or have any further questions? Here are some related questions to explore:
- If was unknown but was smaller, how would that affect ?
- Can you explain why we used a linear equation to solve this?
- What other geometric problems can be solved using the same reasoning?
- How can this type of calculation be applied in real-life contexts?
- What happens if the sum of and exceeds ?
Tip: In problems with line segments, remember that the total length is always the sum of its parts. This can be generalized to various geometric figures as well!
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Linear Equations
Formulas
FH + HG = FG
Theorems
Segment Addition Postulate
Suitable Grade Level
Grades 6-8