What is the ratio of the sides of triangle ABY? https://s3.amazonaws.com/content.accelerate-ed.com/Secondary/docs/Geometry/images/LO6_2_Module_Exam_Question1.png
Note that angle BAX = 90 = sum of angle ABY + angle BYA
So...
90 = 45 + angle BYA subtract 45 from both sides
45 = angle BYA = angle ABY
Su....triangle ABY is a 45 - 45 - 90 right triangle.....so the ratio of the sides =
AB : AY : BY =
1 : 1 : sqrt (2)
+4 
