What is a 45-45-90 triangle? Please give an example.

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Answer 1 · 2015-11-14T15:27:39

it's any isoceles right triangle.

Example: Cartesian plane points

#A = (0,0)#

#B = (t, 0)#

#C = (0, t)#

#t > 0#

#AB = t#

#AC = t#

#BC^2 = t^2 + t^2 Rightarrow BC = t sqrt 2#

#angle BAC = 90º#

#A + B + C = 180º#

#AB = AC Rightarrow angle B = angle C = (180º - 90º)/2#

For two values #t_1, t_2#, we have two similar triangles #B_1AC_1 cong B_2AC_2#