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In the figure below,  AE ∥ BD, AB = 10 ft, ED = 11 ft, and BC = 10 ft. Find the length of CE

In the figure below,  AE ∥ BD, AB = 10 ft, ED = 11 ft, and BC = 10 ft. Find the length of CE

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In the figure below, 

AE ∥ BD, AB = 10 ft, ED = 11 ft, and BC = 10 ft. Find the length of CE.
The image shows a geometric figure that is a triangle with a line segment parallel to its base forming a smaller triangle on top. This is known as a trapezoid configuration within the triangle. Details: - **Points**: - The top vertex of the larger triangle is labeled as **C**. - The two vertices at the base of the larger triangle are labeled **A** (left) and **E** (right). - The line segment parallel to the base touches the sides of the larger triangle at points **B** (left) and **D** (right). - **Lines**: - The line segment **BD** is parallel to base **AE**, dividing the triangle into a smaller triangle **CBD** on the top and a trapezoid **ABDE** below. This configuration often appears in discussions about similar triangles and properties of parallel lines within triangles in geometry.
Transcribed Image Text:The image shows a geometric figure that is a triangle with a line segment parallel to its base forming a smaller triangle on top. This is known as a trapezoid configuration within the triangle. Details: - **Points**: - The top vertex of the larger triangle is labeled as **C**. - The two vertices at the base of the larger triangle are labeled **A** (left) and **E** (right). - The line segment parallel to the base touches the sides of the larger triangle at points **B** (left) and **D** (right). - **Lines**: - The line segment **BD** is parallel to base **AE**, dividing the triangle into a smaller triangle **CBD** on the top and a trapezoid **ABDE** below. This configuration often appears in discussions about similar triangles and properties of parallel lines within triangles in geometry.
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