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

A right triangle has vertices at A(3,0,2), B(4,3,0) and C(8,1,–1). At which vertex is the right angle? (a)

oom.google.com/u/2/c/NDU4Njl1Mzk2MDI Open with - Pear Deck Interactive Slide Students, draw anywhere on this slide! Do no remove D 7. Isosceles triangle ABC is shown below with legs that measure 8 inches and a vertex angle of 50, (a) Determine the area of AABC. Note that you will need to use right triangle trigonometry. Round to the nearest tenth of a square inch. 8 in 50 (b) Determine the area of the circular sector. Again, round to the nearest tenth of a 8 in square inch. (c) Using your answers from (a) and (b), determine the area of the shaded region. Page 10 I 10 Q + 56°F ch 25 hp f6 fio & 6 8.