Perfect Triangles A perfect triangle is one having integersfor sides for which the area is numerically equal to theperimeter. Show that the triangles with the given sidelengths are perfect.(a) 9, 10, 17 (b) 6, 25, 29Source: M.V. Bonsangue, G. E. Gannon, E. Buchman, andN. Gross, “In Search of Perfect Triangles,” MathematicsTeacher, Vol. 92, No. 1, 1999: 56–61
Perfect Triangles A perfect triangle is one having integersfor sides for which the area is numerically equal to theperimeter. Show that the triangles with the given sidelengths are perfect.(a) 9, 10, 17 (b) 6, 25, 29Source: M.V. Bonsangue, G. E. Gannon, E. Buchman, andN. Gross, “In Search of Perfect Triangles,” MathematicsTeacher, Vol. 92, No. 1, 1999: 56–61
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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Question
Perfect Triangles A perfect triangle is one having integers
for sides for which the area is numerically equal to the
perimeter. Show that the triangles with the given side
lengths are perfect.
(a) 9, 10, 17 (b) 6, 25, 29
Source: M.V. Bonsangue, G. E. Gannon, E. Buchman, and
N. Gross, “In Search of Perfect Triangles,” Mathematics
Teacher, Vol. 92, No. 1, 1999: 56–61
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