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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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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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