ABC is a right triangle right angled at A such that AB = AC and bisector of ZC intersects the side AB at D. Prove that AC+AD = BC.
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AC^2+AB^2 = BC^2
∵ AB=AC
∴ BC^2 = 2AC^2
BC = 1.414 AC
AD = AC tan 22.5° = 0.414 AC
AC + AD = AC + 0.414 AC = 1. 414 AC = BC
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