one median is the line segment joining (b,c) and the midpt of (-a,0) and (a,0) which is (0,0).. so, get the equation on the line joining (b,c) and (0,0)..

another median is the line segment joining (a,0) and the midpt of (-a,0) and (b,c).. get the midpt first then get the equation of the line joining that midpt and (a,0)..

so you have two linear equations, just get their intersection..

so,

get the equation of the line joining (x,0) and (3,2): .. since (0,y) is in this line, it must be satisfied.. thus (we just sabstitute 0 to X and y to Y)

therefore, the length of the hypotenuse as a function of L is