Subjects geometry

Vertical Segments 036E82

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1. **Stating the problem:** We have a polygonal chain with vertical segments labeled $e$, $a$, and $b$. We want to find a relationship or solve for one of these variables based on the shape. 2. **Understanding the shape:** The polyline forms a shape with vertical segments $e$, $a$, and $b$ arranged such that the total vertical height on the left side equals the total vertical height on the right side. 3. **Setting up the equation:** Since the shape is continuous vertically, the sum of vertical segments on the left must equal the sum on the right: $$e = a + b$$ 4. **Explanation:** This is because the vertical rise $e$ on the left side is split into two vertical segments $a$ and $b$ on the right side. 5. **Final answer:** $$\boxed{e = a + b}$$ This equation relates the vertical segments of the polygonal chain.