Sum of triangle functions

Given a triangle written in the form[br] [list][br][*] λ = b - b/a |x-t|, |x-t|≤a[br][/list][br][br]When is the sum λ1 + λ2 a scalene triangle?
______________[br]Worksheets to accompany [br]The Fourier Transform and its Applications; Prof. Osgood, Stanford University:[br][url]http://www.youtube.com/watch?v=gZNm7L96pfY[/url][br][br][list][br][*]Part I[br]1. Sine or cosine from two points: [url]https://www.geogebra.org/material/show/id/49208[/url][br]2. Unit Step, Unit Impulse: [url]https://www.geogebra.org/material/show/id/49526 [/url][br]3. Triangle function λ: [url]https://www.geogebra.org/material/show/id/50926[/url][br][b]→4. Sum λ1+ λ2 is a scalene triangle[/b][br][/list]

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