If a(t), b(t), and c(t) are the lengths of the three sides of a triangle t in non-decreasing order (i.e. a(t) ≤ b(t) ≤ c(t)), we define the sets: • X := {Triangle t : a(t) = b(t)} • Y := {Triangle t : b(t) = c(t)} • T := the set of all triangles Using only set operations on these three sets, define:
If a(t), b(t), and c(t) are the lengths of the three sides of a triangle t in non-decreasing order (i.e. a(t) ≤ b(t) ≤ c(t)), we define the sets: • X := {Triangle t : a(t) = b(t)} • Y := {Triangle t : b(t) = c(t)} • T := the set of all triangles Using only set operations on these three sets, define:
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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- If a(t), b(t), and c(t) are the lengths of the three sides of a triangle t in non-decreasing order (i.e. a(t) ≤ b(t) ≤ c(t)), we define the sets:
• X := {Triangle t : a(t) = b(t)}
• Y := {Triangle t : b(t) = c(t)}
• T := the set of all triangles
Using only set operations on these three sets, define:
(a) The set of all equilateral triangles (all sides equal)
(b) The set of all isosceles triangles (at least two sides equal)
discrete math
(c) The set of all scalene triangles (no two sides equal)
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