Angled Width of a Sofa
View the Lesson | MATHguide homepage Updated June 22nd, 2023


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    Problem: Find the angled width of the sofa with the given dimensions.
  
Sofa Diagram 1
Dimensions
height = 34 in
width = 32 in
arm length = 27 in
arm height = 25 in
thickness = 4 in
Sofa Diagram 2
Location of Points
A(,)
B(,)

Slope of Segment AB


Equation of Line AB
y = x +

Sofa Diagram 3
Slope of Segment CO


Equation of Line CO
y = x


Location of C
C(,)

Length of Segment CO
in