
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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