I think you should follow the steps of similar triangles or by basic proportionality theorem for justification.
This can help you understand the thing:
https://www.sarthaks.com/31405/draw-triangle-abc-which-4cm-6cm-and-9cm-construct-triangle-similar-%CE%B4abc-with-scale-factor
https://www.sarthaks.com/31398/construct-triangle-similar-given-triangle-with-sides-equal-corresponding-sides-triangle