MathDB

1

Part of 2016 Finnish National High School Mathematics Comp

Problems(1)

(c^2-a^2)/b+(b^2-c^2)/a=b-a , where a,b,c sidelengths of triangle

Source: Finland 2016, Problem 1

9/8/2019
Which triangles satisfy the equation c2−a2b+b2−c2a=b−a\frac{c^2-a^2}{b}+\frac{b^2-c^2}{a}=b-a when a,ba, b and cc are sides of a triangle?
algebrageometrysidelengths