Question Number 197234 by sonukgindia last updated on 10/Sep/23
Answered by HeferH last updated on 10/Sep/23
Commented by HeferH last updated on 11/Sep/23
$$\:\left({m}+{n}\right)^{\mathrm{2}} +{n}^{\mathrm{2}} =\:\mathrm{17}^{\mathrm{2}} \\ $$$$\:\left({m}−{n}\right)^{\mathrm{2}} +{n}^{\mathrm{2}} \:=\:\mathrm{7}^{\mathrm{2}} \\ $$$$\:\left({m}+{n}+{m}−{n}\right)\left({m}+{n}−\left({m}−{n}\right)\right)\:=\:\mathrm{17}^{\mathrm{2}} −\mathrm{7}^{\mathrm{2}} \\ $$$$\:\mathrm{2}{m}\centerdot\mathrm{2}{n}\:=\:\left(\mathrm{17}−\mathrm{7}\right)\left(\mathrm{17}+\mathrm{7}\right) \\ $$$$\:\mathrm{4}{mn}\:=\:\mathrm{10}\centerdot\mathrm{24} \\ $$$$\:{mn}\:=\:\mathrm{60}\:{u}^{\mathrm{2}} \\ $$