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 $B_1AC_1 cong B_2AC_2$