Math Problem Statement
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The bases of a trapezoid are 16 cm and 28 cm. One of the non-parallel sides is divided into three equal segments. Through the division points, lines parallel to the bases are drawn. Find the lengths of the segments of these parallel lines that are inside the trapezoid.
Solution
Here’s a simplified version of the problem:
The bases of a trapezoid are 16 cm and 28 cm. One of the non-parallel sides is divided into three equal segments. Through the division points, lines parallel to the bases are drawn. Find the lengths of the segments of these parallel lines that are inside the trapezoid.
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Math Problem Analysis
Mathematical Concepts
Trapezoids
Proportionality
Parallel Lines
Formulas
Basic proportionality theorem
Trapezoid midsegment formula
Theorems
Basic proportionality theorem (Thales's theorem)
Suitable Grade Level
Grades 9-10